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Finding the Fourth Proportional to 517.92, 714.61 and 378.11

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Solution

The fourth proportional to 517.92, 714.61 and 378.11 is: 521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.92 : 714.61 = 378.11 : x
  2. Step 2: Convert to fraction form
    517.92/714.61 = 378.11/x
  3. Step 3: Cross multiply
    517.92x = 714.61 × 378.11
  4. Step 4: Simplify right side
    517.92x = 270,200.69
  5. Step 5: Solve for x
    x = 270,200.69/517.92
  6. Step 6: Final answer
    x = 521.71

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