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Finding the Fourth Proportional to 494.89, 742.34 and 129.71

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Solution

The fourth proportional to 494.89, 742.34 and 129.71 is: 194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.89 : 742.34 = 129.71 : x
  2. Step 2: Convert to fraction form
    494.89/742.34 = 129.71/x
  3. Step 3: Cross multiply
    494.89x = 742.34 × 129.71
  4. Step 4: Simplify right side
    494.89x = 96,291.10
  5. Step 5: Solve for x
    x = 96,291.10/494.89
  6. Step 6: Final answer
    x = 194.57

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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.