Well i could have given a more detailed analysis if you mentioned from which state you are from , though with 478 your rank would be around 28000-39000 keeping in mind a general perspective about all states you will get a seat in private medical college acc to previous years analysis.

Alsofor detailed analysis report consisting which colleges you can get with given rank you can usethis link https://medicine.careers360.com/neet-college-predictor