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Finding the Fourth Proportional to 409.70, 614.65 and 135.86

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Solution

The fourth proportional to 409.70, 614.65 and 135.86 is: 203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.70 : 614.65 = 135.86 : x
  2. Step 2: Convert to fraction form
    409.70/614.65 = 135.86/x
  3. Step 3: Cross multiply
    409.70x = 614.65 × 135.86
  4. Step 4: Simplify right side
    409.70x = 83,507.55
  5. Step 5: Solve for x
    x = 83,507.55/409.70
  6. Step 6: Final answer
    x = 203.83

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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.