• 目的もくてき — purpose / goal
• 的確てきかく — precise / accurate
• 文化的ぶんかてき — cultural
• 歴史的れきしてき — historical
• 美的びてき — aesthetic

的 originally depicted a target or bullseye. Over time, it evolved into a productive suffix in Japanese, attaching to nouns to form adjectives (科学的 = scientific, 歴史的 = historical). Its frequency in modern written Japanese is extremely high.

彼かれの 考かんがえは 論理ろんり的てきです。
His thinking is logical.

的まとに 当あたった！
It hit the target!