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Finding the Fourth Proportional to 409.28, 613.71 and 149.27

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Solution

The fourth proportional to 409.28, 613.71 and 149.27 is: 223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.28 : 613.71 = 149.27 : x
  2. Step 2: Convert to fraction form
    409.28/613.71 = 149.27/x
  3. Step 3: Cross multiply
    409.28x = 613.71 × 149.27
  4. Step 4: Simplify right side
    409.28x = 91,605.42
  5. Step 5: Solve for x
    x = 91,605.42/409.28
  6. Step 6: Final answer
    x = 223.82

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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.