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Finding the Fourth Proportional to 422.54, 634.04 and 179.24

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Solution

The fourth proportional to 422.54, 634.04 and 179.24 is: 268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.54 : 634.04 = 179.24 : x
  2. Step 2: Convert to fraction form
    422.54/634.04 = 179.24/x
  3. Step 3: Cross multiply
    422.54x = 634.04 × 179.24
  4. Step 4: Simplify right side
    422.54x = 113,641.94
  5. Step 5: Solve for x
    x = 113,641.94/422.54
  6. Step 6: Final answer
    x = 268.95

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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.