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Finding the Fourth Proportional to 408.15, 562.46 and 338.31

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Solution

The fourth proportional to 408.15, 562.46 and 338.31 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.15 : 562.46 = 338.31 : x
  2. Step 2: Convert to fraction form
    408.15/562.46 = 338.31/x
  3. Step 3: Cross multiply
    408.15x = 562.46 × 338.31
  4. Step 4: Simplify right side
    408.15x = 190,284.15
  5. Step 5: Solve for x
    x = 190,284.15/408.15
  6. Step 6: Final answer
    x = 466.21

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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.