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Finding the Fourth Proportional to 409.76, 614.72 and 149.69

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Solution

The fourth proportional to 409.76, 614.72 and 149.69 is: 224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 614.72 = 149.69 : x
  2. Step 2: Convert to fraction form
    409.76/614.72 = 149.69/x
  3. Step 3: Cross multiply
    409.76x = 614.72 × 149.69
  4. Step 4: Simplify right side
    409.76x = 92,017.44
  5. Step 5: Solve for x
    x = 92,017.44/409.76
  6. Step 6: Final answer
    x = 224.56

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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.