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Finding the Fourth Proportional to 560.38, 773.68 and 364.18

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Solution

The fourth proportional to 560.38, 773.68 and 364.18 is: 502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.38 : 773.68 = 364.18 : x
  2. Step 2: Convert to fraction form
    560.38/773.68 = 364.18/x
  3. Step 3: Cross multiply
    560.38x = 773.68 × 364.18
  4. Step 4: Simplify right side
    560.38x = 281,754.91
  5. Step 5: Solve for x
    x = 281,754.91/560.38
  6. Step 6: Final answer
    x = 502.80

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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.