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Finding the Fourth Proportional to 408.81, 613.25 and 116.31

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Solution

The fourth proportional to 408.81, 613.25 and 116.31 is: 174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.81 : 613.25 = 116.31 : x
  2. Step 2: Convert to fraction form
    408.81/613.25 = 116.31/x
  3. Step 3: Cross multiply
    408.81x = 613.25 × 116.31
  4. Step 4: Simplify right side
    408.81x = 71,329.26
  5. Step 5: Solve for x
    x = 71,329.26/408.81
  6. Step 6: Final answer
    x = 174.48

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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.