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Finding the Fourth Proportional to 517.14, 713.10 and 468

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Solution

The fourth proportional to 517.14, 713.10 and 468 is: 645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.14 : 713.10 = 468 : x
  2. Step 2: Convert to fraction form
    517.14/713.10 = 468/x
  3. Step 3: Cross multiply
    517.14x = 713.10 × 468
  4. Step 4: Simplify right side
    517.14x = 333,730.80
  5. Step 5: Solve for x
    x = 333,730.80/517.14
  6. Step 6: Final answer
    x = 645.34

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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.