
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
Sarah surveyed a group of students about their opinions on cats. To the nearest tenth of a percent, she found that $75.2\%$ of the students surveyed thought cats were independent by nature. Of the students who thought cats were independent, $62.1\%$ believed that cats do not require companionship. Since cats can benefit from companionship, this subset of students was misinformed. Given that these 41 students were misinformed, determine the total number of students Sarah surveyed.

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