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Finding the Fourth Proportional to 406.11, 609.77 and 232.97

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Solution

The fourth proportional to 406.11, 609.77 and 232.97 is: 349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.11 : 609.77 = 232.97 : x
  2. Step 2: Convert to fraction form
    406.11/609.77 = 232.97/x
  3. Step 3: Cross multiply
    406.11x = 609.77 × 232.97
  4. Step 4: Simplify right side
    406.11x = 142,058.12
  5. Step 5: Solve for x
    x = 142,058.12/406.11
  6. Step 6: Final answer
    x = 349.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.