
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Susan surveyed a group of people about their opinions on bats. To the nearest tenth of a percent, she found that $78.4\%$ of the people surveyed thought bats were blind. Of the people who thought bats were blind, $53.2\%$ said that bats could not hear well, which is a misconception. If these 33 people were incorrect, how many total people did Susan survey?

Present the answer in LaTex format: \boxed{Your answer}
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