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Finding the Fourth Proportional to 517.64, 714.56 and 331.13

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Solution

The fourth proportional to 517.64, 714.56 and 331.13 is: 457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 714.56 = 331.13 : x
  2. Step 2: Convert to fraction form
    517.64/714.56 = 331.13/x
  3. Step 3: Cross multiply
    517.64x = 714.56 × 331.13
  4. Step 4: Simplify right side
    517.64x = 236,612.38
  5. Step 5: Solve for x
    x = 236,612.38/517.64
  6. Step 6: Final answer
    x = 457.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.