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Finding the Fourth Proportional to 560.72, 773.96 and 364.30

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Solution

The fourth proportional to 560.72, 773.96 and 364.30 is: 502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.72 : 773.96 = 364.30 : x
  2. Step 2: Convert to fraction form
    560.72/773.96 = 364.30/x
  3. Step 3: Cross multiply
    560.72x = 773.96 × 364.30
  4. Step 4: Simplify right side
    560.72x = 281,949.87
  5. Step 5: Solve for x
    x = 281,949.87/560.72
  6. Step 6: Final answer
    x = 502.83

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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.