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Finding the Fourth Proportional to 635.76, 878.17 and 490.19

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Solution

The fourth proportional to 635.76, 878.17 and 490.19 is: 677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.76 : 878.17 = 490.19 : x
  2. Step 2: Convert to fraction form
    635.76/878.17 = 490.19/x
  3. Step 3: Cross multiply
    635.76x = 878.17 × 490.19
  4. Step 4: Simplify right side
    635.76x = 430,470.15
  5. Step 5: Solve for x
    x = 430,470.15/635.76
  6. Step 6: Final answer
    x = 677.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.