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Finding the Fourth Proportional to 408.01, 562.67 and 314.61

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Solution

The fourth proportional to 408.01, 562.67 and 314.61 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.01 : 562.67 = 314.61 : x
  2. Step 2: Convert to fraction form
    408.01/562.67 = 314.61/x
  3. Step 3: Cross multiply
    408.01x = 562.67 × 314.61
  4. Step 4: Simplify right side
    408.01x = 177,022.40
  5. Step 5: Solve for x
    x = 177,022.40/408.01
  6. Step 6: Final answer
    x = 433.87

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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.