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Finding the Fourth Proportional to 517.16, 713.69 and 406.43

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Solution

The fourth proportional to 517.16, 713.69 and 406.43 is: 560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.16 : 713.69 = 406.43 : x
  2. Step 2: Convert to fraction form
    517.16/713.69 = 406.43/x
  3. Step 3: Cross multiply
    517.16x = 713.69 × 406.43
  4. Step 4: Simplify right side
    517.16x = 290,059.43
  5. Step 5: Solve for x
    x = 290,059.43/517.16
  6. Step 6: Final answer
    x = 560.88

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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.