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Finding the Fourth Proportional to 494.43, 742.28 and 403.31

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Solution

The fourth proportional to 494.43, 742.28 and 403.31 is: 605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.43 : 742.28 = 403.31 : x
  2. Step 2: Convert to fraction form
    494.43/742.28 = 403.31/x
  3. Step 3: Cross multiply
    494.43x = 742.28 × 403.31
  4. Step 4: Simplify right side
    494.43x = 299,363.22
  5. Step 5: Solve for x
    x = 299,363.22/494.43
  6. Step 6: Final answer
    x = 605.47

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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.