Madson will start the season as the Phillies' closer while Brad Lidge continues to rehab from offseason knee and elbow surgeries. Hinske connected on a 3-0 pitch.
"He tried to take something off, he slowed his whole body up and pretty much telegraphed it," pitching coach Rich Dubee said.
After a walk, Madson rebounded to strike out three batters to end the inning.
"He was dead today, just a little dead," Dubee said of Madson's effort.
Hinske singled in the seventh off Chad Durbin and Brooks Conrad hit a tying home run.
Philadelphia starter J.A. Happ capped his Florida exhibition schedule by reaching the 90-pitch plateau for the first time. He allowed two runs on three hits and struggled with his command, walking a spring-high five.
Happ's next appearance will come in an exhibition game in Philadelphia on Saturday against Pittsburgh. He has a 3.06 ERA in six starts.
"I made some good pitches, but they were ahead in the count and laying off them," Happ said. "They didn't have to swing the bat for a while, especially in the fourth inning. I have to be a little bit more aggressive I guess."
Happ finished strong. He retired the last three hitters he faced, including strikeouts of Troy Glaus and Martin Prado in the fifth inning.
The 27-year-old Happ, who was competing for a spot in the rotation last spring, is now eager to see if he can replicate his 2009 performance. Happ was 12-4 with a 2.93 ERA and finished second in the NL Rookie of the Year voting.
"It's going to be a challenge to duplicate what I was able to do last year, but ... I'll just try to be as consistent as I can," Happ said.