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Finding the Fourth Proportional to 494.31, 681.42 and 406.29

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Solution

The fourth proportional to 494.31, 681.42 and 406.29 is: 560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.31 : 681.42 = 406.29 : x
  2. Step 2: Convert to fraction form
    494.31/681.42 = 406.29/x
  3. Step 3: Cross multiply
    494.31x = 681.42 × 406.29
  4. Step 4: Simplify right side
    494.31x = 276,854.13
  5. Step 5: Solve for x
    x = 276,854.13/494.31
  6. Step 6: Final answer
    x = 560.08

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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.