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Finding the Fourth Proportional to 408.68, 613.18 and 246.48

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Solution

The fourth proportional to 408.68, 613.18 and 246.48 is: 369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.68 : 613.18 = 246.48 : x
  2. Step 2: Convert to fraction form
    408.68/613.18 = 246.48/x
  3. Step 3: Cross multiply
    408.68x = 613.18 × 246.48
  4. Step 4: Simplify right side
    408.68x = 151,136.61
  5. Step 5: Solve for x
    x = 151,136.61/408.68
  6. Step 6: Final answer
    x = 369.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.