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Finding the Fourth Proportional to 517.68, 714 and 331.02

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Solution

The fourth proportional to 517.68, 714 and 331.02 is: 456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 714 = 331.02 : x
  2. Step 2: Convert to fraction form
    517.68/714 = 331.02/x
  3. Step 3: Cross multiply
    517.68x = 714 × 331.02
  4. Step 4: Simplify right side
    517.68x = 236,348.28
  5. Step 5: Solve for x
    x = 236,348.28/517.68
  6. Step 6: Final answer
    x = 456.55

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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.