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Finding the Fourth Proportional to 408.47, 613.24 and 244.24

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Solution

The fourth proportional to 408.47, 613.24 and 244.24 is: 366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.47 : 613.24 = 244.24 : x
  2. Step 2: Convert to fraction form
    408.47/613.24 = 244.24/x
  3. Step 3: Cross multiply
    408.47x = 613.24 × 244.24
  4. Step 4: Simplify right side
    408.47x = 149,777.74
  5. Step 5: Solve for x
    x = 149,777.74/408.47
  6. Step 6: Final answer
    x = 366.68

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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.