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Finding the Fourth Proportional to 564.52, 778.80 and 331.24

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Solution

The fourth proportional to 564.52, 778.80 and 331.24 is: 456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.52 : 778.80 = 331.24 : x
  2. Step 2: Convert to fraction form
    564.52/778.80 = 331.24/x
  3. Step 3: Cross multiply
    564.52x = 778.80 × 331.24
  4. Step 4: Simplify right side
    564.52x = 257,969.71
  5. Step 5: Solve for x
    x = 257,969.71/564.52
  6. Step 6: Final answer
    x = 456.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.