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Finding the Fourth Proportional to 517.44, 709.89 and 503.76

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Solution

The fourth proportional to 517.44, 709.89 and 503.76 is: 691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.44 : 709.89 = 503.76 : x
  2. Step 2: Convert to fraction form
    517.44/709.89 = 503.76/x
  3. Step 3: Cross multiply
    517.44x = 709.89 × 503.76
  4. Step 4: Simplify right side
    517.44x = 357,614.19
  5. Step 5: Solve for x
    x = 357,614.19/517.44
  6. Step 6: Final answer
    x = 691.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.