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Finding the Fourth Proportional to 497.48, 686.20 and 331.60

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Solution

The fourth proportional to 497.48, 686.20 and 331.60 is: 457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.48 : 686.20 = 331.60 : x
  2. Step 2: Convert to fraction form
    497.48/686.20 = 331.60/x
  3. Step 3: Cross multiply
    497.48x = 686.20 × 331.60
  4. Step 4: Simplify right side
    497.48x = 227,543.92
  5. Step 5: Solve for x
    x = 227,543.92/497.48
  6. Step 6: Final answer
    x = 457.39

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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.