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Finding the Fourth Proportional to 531.43, 797.23 and 494.74

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Solution

The fourth proportional to 531.43, 797.23 and 494.74 is: 742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.43 : 797.23 = 494.74 : x
  2. Step 2: Convert to fraction form
    531.43/797.23 = 494.74/x
  3. Step 3: Cross multiply
    531.43x = 797.23 × 494.74
  4. Step 4: Simplify right side
    531.43x = 394,419.10
  5. Step 5: Solve for x
    x = 394,419.10/531.43
  6. Step 6: Final answer
    x = 742.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.