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Finding the Fourth Proportional to 563.72, 778.14 and 331.04

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Solution

The fourth proportional to 563.72, 778.14 and 331.04 is: 456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.72 : 778.14 = 331.04 : x
  2. Step 2: Convert to fraction form
    563.72/778.14 = 331.04/x
  3. Step 3: Cross multiply
    563.72x = 778.14 × 331.04
  4. Step 4: Simplify right side
    563.72x = 257,595.47
  5. Step 5: Solve for x
    x = 257,595.47/563.72
  6. Step 6: Final answer
    x = 456.96

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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.