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Finding the Fourth Proportional to 424.69, 637.07 and 116.57

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Solution

The fourth proportional to 424.69, 637.07 and 116.57 is: 174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.69 : 637.07 = 116.57 : x
  2. Step 2: Convert to fraction form
    424.69/637.07 = 116.57/x
  3. Step 3: Cross multiply
    424.69x = 637.07 × 116.57
  4. Step 4: Simplify right side
    424.69x = 74,259.48
  5. Step 5: Solve for x
    x = 74,259.48/424.69
  6. Step 6: Final answer
    x = 174.86

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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.