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Finding the Fourth Proportional to 490.60, 677.17 and 343.27

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Solution

The fourth proportional to 490.60, 677.17 and 343.27 is: 473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 677.17 = 343.27 : x
  2. Step 2: Convert to fraction form
    490.60/677.17 = 343.27/x
  3. Step 3: Cross multiply
    490.60x = 677.17 × 343.27
  4. Step 4: Simplify right side
    490.60x = 232,452.15
  5. Step 5: Solve for x
    x = 232,452.15/490.60
  6. Step 6: Final answer
    x = 473.81

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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.