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Finding the Fourth Proportional to 517.65, 714 and 331.20

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Solution

The fourth proportional to 517.65, 714 and 331.20 is: 456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.65 : 714 = 331.20 : x
  2. Step 2: Convert to fraction form
    517.65/714 = 331.20/x
  3. Step 3: Cross multiply
    517.65x = 714 × 331.20
  4. Step 4: Simplify right side
    517.65x = 236,476.80
  5. Step 5: Solve for x
    x = 236,476.80/517.65
  6. Step 6: Final answer
    x = 456.83

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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.