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Finding the Fourth Proportional to 422.87, 634.33 and 114.76

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Solution

The fourth proportional to 422.87, 634.33 and 114.76 is: 172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.87 : 634.33 = 114.76 : x
  2. Step 2: Convert to fraction form
    422.87/634.33 = 114.76/x
  3. Step 3: Cross multiply
    422.87x = 634.33 × 114.76
  4. Step 4: Simplify right side
    422.87x = 72,792.54
  5. Step 5: Solve for x
    x = 72,792.54/422.87
  6. Step 6: Final answer
    x = 172.14

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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.