With a score of 417, your rank might be approximately between 109937-120258. This is an expected rank range: https://medicine.careers360.com/articles/neet-result-marks-vs-rank . Now regarding the Colleges that you may have a shot at, you have a chance in:

1. KGMU
2. Ganesh Shankar Medical College
3. Sarojini Naidu Medical College
4. Moti Lal Nehru Medical College
5. Lala Lajpat Rai Medical College

Now this is based on 2019 data and cut offs change every year. Cut offs change every year depending on various factors such as no.of Candidates appearing for the exam, no.of Candidates qualified, top NEET score and difficulty of the exam. For complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?