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Finding the Fourth Proportional to 497.34, 686.17 and 331.58

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Solution

The fourth proportional to 497.34, 686.17 and 331.58 is: 457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.34 : 686.17 = 331.58 : x
  2. Step 2: Convert to fraction form
    497.34/686.17 = 331.58/x
  3. Step 3: Cross multiply
    497.34x = 686.17 × 331.58
  4. Step 4: Simplify right side
    497.34x = 227,520.25
  5. Step 5: Solve for x
    x = 227,520.25/497.34
  6. Step 6: Final answer
    x = 457.47

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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.