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Finding the Fourth Proportional to 409.85, 614.69 and 135.90

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Solution

The fourth proportional to 409.85, 614.69 and 135.90 is: 203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.85 : 614.69 = 135.90 : x
  2. Step 2: Convert to fraction form
    409.85/614.69 = 135.90/x
  3. Step 3: Cross multiply
    409.85x = 614.69 × 135.90
  4. Step 4: Simplify right side
    409.85x = 83,535.69
  5. Step 5: Solve for x
    x = 83,535.69/409.85
  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.