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Finding the Fourth Proportional to 409.76, 614.74 and 135.83

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Solution

The fourth proportional to 409.76, 614.74 and 135.83 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 614.74 = 135.83 : x
  2. Step 2: Convert to fraction form
    409.76/614.74 = 135.83/x
  3. Step 3: Cross multiply
    409.76x = 614.74 × 135.83
  4. Step 4: Simplify right side
    409.76x = 83,499.46
  5. Step 5: Solve for x
    x = 83,499.46/409.76
  6. Step 6: Final answer
    x = 203.78

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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.