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Finding the Fourth Proportional to 497.92, 686.50 and 409.28

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Solution

The fourth proportional to 497.92, 686.50 and 409.28 is: 564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.92 : 686.50 = 409.28 : x
  2. Step 2: Convert to fraction form
    497.92/686.50 = 409.28/x
  3. Step 3: Cross multiply
    497.92x = 686.50 × 409.28
  4. Step 4: Simplify right side
    497.92x = 280,970.72
  5. Step 5: Solve for x
    x = 280,970.72/497.92
  6. Step 6: Final answer
    x = 564.29

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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.