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Finding the Fourth Proportional to 409.69, 614.67 and 149.77

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Solution

The fourth proportional to 409.69, 614.67 and 149.77 is: 224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.69 : 614.67 = 149.77 : x
  2. Step 2: Convert to fraction form
    409.69/614.67 = 149.77/x
  3. Step 3: Cross multiply
    409.69x = 614.67 × 149.77
  4. Step 4: Simplify right side
    409.69x = 92,059.13
  5. Step 5: Solve for x
    x = 92,059.13/409.69
  6. Step 6: Final answer
    x = 224.70

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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.