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Finding the Fourth Proportional to 517.69, 714.31 and 331.04

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Solution

The fourth proportional to 517.69, 714.31 and 331.04 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.69 : 714.31 = 331.04 : x
  2. Step 2: Convert to fraction form
    517.69/714.31 = 331.04/x
  3. Step 3: Cross multiply
    517.69x = 714.31 × 331.04
  4. Step 4: Simplify right side
    517.69x = 236,461.61
  5. Step 5: Solve for x
    x = 236,461.61/517.69
  6. Step 6: Final answer
    x = 456.77

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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.