I need some help with installing itunes into my iMAC G4?

A friend gave me his iMac G4 with MAC OS X 10.4 version tiger. I was trying to download the latest version of itunes 7.3 but it wasn't working. On the system requirements disclosure on apple.com it indicates that you need MAC OS X 10.3 or later version and G3, G4, and G5 iMACS. I checked so many times and I can confirm that I have the iMAC G4 with MAC OS X 10.4 version. So I ume I meet the requirements. When I went throught the installation it looked like it worked fine. I went through all the steps and it even stated that the installation was successful. But when I go to click on the itunes icon or even connect my 5th Generation ipod I get a error message that states "itunes 7 requires an upgrade of MAC OS X 10.4.7 or greater. go to apple.com/macosx." From there I'm clueless that error message clearly defeats the the purpose of the earlier requirements that states 10.3 or later. huh? I did notice that it asked for the 10.4.7 version. Please anyone help especially iMAC users. Thanks