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Finding the Fourth Proportional to 409.91, 614.66 and 135.86

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Solution

The fourth proportional to 409.91, 614.66 and 135.86 is: 203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.91 : 614.66 = 135.86 : x
  2. Step 2: Convert to fraction form
    409.91/614.66 = 135.86/x
  3. Step 3: Cross multiply
    409.91x = 614.66 × 135.86
  4. Step 4: Simplify right side
    409.91x = 83,503.96
  5. Step 5: Solve for x
    x = 83,503.96/409.91
  6. Step 6: Final answer
    x = 203.72

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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.