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Finding the Fourth Proportional to 517.31, 714.08 and 342.71

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Solution

The fourth proportional to 517.31, 714.08 and 342.71 is: 473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.31 : 714.08 = 342.71 : x
  2. Step 2: Convert to fraction form
    517.31/714.08 = 342.71/x
  3. Step 3: Cross multiply
    517.31x = 714.08 × 342.71
  4. Step 4: Simplify right side
    517.31x = 244,720.64
  5. Step 5: Solve for x
    x = 244,720.64/517.31
  6. Step 6: Final answer
    x = 473.06

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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.