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Finding the Fourth Proportional to 408.76, 613.23 and 216.52

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Solution

The fourth proportional to 408.76, 613.23 and 216.52 is: 324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.76 : 613.23 = 216.52 : x
  2. Step 2: Convert to fraction form
    408.76/613.23 = 216.52/x
  3. Step 3: Cross multiply
    408.76x = 613.23 × 216.52
  4. Step 4: Simplify right side
    408.76x = 132,776.56
  5. Step 5: Solve for x
    x = 132,776.56/408.76
  6. Step 6: Final answer
    x = 324.83

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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.