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Finding the Fourth Proportional to 424.38, 636.53 and 116.26

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Solution

The fourth proportional to 424.38, 636.53 and 116.26 is: 174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.38 : 636.53 = 116.26 : x
  2. Step 2: Convert to fraction form
    424.38/636.53 = 116.26/x
  3. Step 3: Cross multiply
    424.38x = 636.53 × 116.26
  4. Step 4: Simplify right side
    424.38x = 74,002.40
  5. Step 5: Solve for x
    x = 74,002.40/424.38
  6. Step 6: Final answer
    x = 174.38

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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.