You’r right. my gopro footage was made with 48k freq audio and zoom h4n audio with 44.1khz freq. But i think final cut pro X some how takes care about this itself. at least 10.0.8th version. after all i spent hours trying to figure out what was wrong and it seemed that i’ve tryed every suggested solution of fixing syncing 48k and 44.1 audios issue. none of them worked for me though.
So i went on until i finally found a very strange little jam on the zoom h4n record, probably the result of a writing to flash card error or some zoom h4n hiccup. After removing affected fragment i synced it again and everything was fine this time.
So for those others who will google this “sliding out of sync problem” i would recommend checking thoroughly for exact moments where it starts getting out of sync and there looking very carefully for any kind of hiccups or sound jams on any of the sources. its very hard to hear and as i got so far this could be a pretty much pain in the ass.