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Finding the Fourth Proportional to 408.97, 613.66 and 254.67

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Solution

The fourth proportional to 408.97, 613.66 and 254.67 is: 382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.97 : 613.66 = 254.67 : x
  2. Step 2: Convert to fraction form
    408.97/613.66 = 254.67/x
  3. Step 3: Cross multiply
    408.97x = 613.66 × 254.67
  4. Step 4: Simplify right side
    408.97x = 156,280.79
  5. Step 5: Solve for x
    x = 156,280.79/408.97
  6. Step 6: Final answer
    x = 382.13

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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.