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Finding the Fourth Proportional to 497.31, 686.37 and 414.29

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Solution

The fourth proportional to 497.31, 686.37 and 414.29 is: 571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.31 : 686.37 = 414.29 : x
  2. Step 2: Convert to fraction form
    497.31/686.37 = 414.29/x
  3. Step 3: Cross multiply
    497.31x = 686.37 × 414.29
  4. Step 4: Simplify right side
    497.31x = 284,352.80
  5. Step 5: Solve for x
    x = 284,352.80/497.31
  6. Step 6: Final answer
    x = 571.78

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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.