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Finding the Fourth Proportional to 409.97, 614.76 and 135.92

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Solution

The fourth proportional to 409.97, 614.76 and 135.92 is: 203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.97 : 614.76 = 135.92 : x
  2. Step 2: Convert to fraction form
    409.97/614.76 = 135.92/x
  3. Step 3: Cross multiply
    409.97x = 614.76 × 135.92
  4. Step 4: Simplify right side
    409.97x = 83,558.18
  5. Step 5: Solve for x
    x = 83,558.18/409.97
  6. Step 6: Final answer
    x = 203.82

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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.