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Finding the Fourth Proportional to 422.74, 634.11 and 260.48

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Solution

The fourth proportional to 422.74, 634.11 and 260.48 is: 390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.74 : 634.11 = 260.48 : x
  2. Step 2: Convert to fraction form
    422.74/634.11 = 260.48/x
  3. Step 3: Cross multiply
    422.74x = 634.11 × 260.48
  4. Step 4: Simplify right side
    422.74x = 165,172.97
  5. Step 5: Solve for x
    x = 165,172.97/422.74
  6. Step 6: Final answer
    x = 390.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.