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Finding the Fourth Proportional to 409.11, 613.76 and 149.25

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Solution

The fourth proportional to 409.11, 613.76 and 149.25 is: 223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.11 : 613.76 = 149.25 : x
  2. Step 2: Convert to fraction form
    409.11/613.76 = 149.25/x
  3. Step 3: Cross multiply
    409.11x = 613.76 × 149.25
  4. Step 4: Simplify right side
    409.11x = 91,604.05
  5. Step 5: Solve for x
    x = 91,604.05/409.11
  6. Step 6: Final answer
    x = 223.91

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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.