correctly
From LSJ
Oἱ δὲ Ἀθηναῖοι ἦσαν ἐν μεγάλῳ κινδύνῳ... (adaptation of Herodotus 6.105) → The Athenians were in great danger...
accurately: P. and V. ἀκριβῶς.
truly: P. and V. ἀληθῶς, ὀρθῶς, V. κατ' ὀρθόν.
becomingly, adv.; P. and V. εὐπρεπῶς, πρεπόντως, P. προσηκόντως.