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Finding the Fourth Proportional to 497.02, 686.46 and 408.73

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Solution

The fourth proportional to 497.02, 686.46 and 408.73 is: 564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.02 : 686.46 = 408.73 : x
  2. Step 2: Convert to fraction form
    497.02/686.46 = 408.73/x
  3. Step 3: Cross multiply
    497.02x = 686.46 × 408.73
  4. Step 4: Simplify right side
    497.02x = 280,576.80
  5. Step 5: Solve for x
    x = 280,576.80/497.02
  6. Step 6: Final answer
    x = 564.52

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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.