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Finding the Fourth Proportional to 409.72, 614.67 and 149.74

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Solution

The fourth proportional to 409.72, 614.67 and 149.74 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.72 : 614.67 = 149.74 : x
  2. Step 2: Convert to fraction form
    409.72/614.67 = 149.74/x
  3. Step 3: Cross multiply
    409.72x = 614.67 × 149.74
  4. Step 4: Simplify right side
    409.72x = 92,040.69
  5. Step 5: Solve for x
    x = 92,040.69/409.72
  6. Step 6: Final answer
    x = 224.64

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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.