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Finding the Fourth Proportional to 409.71, 614.67 and 135.84

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Solution

The fourth proportional to 409.71, 614.67 and 135.84 is: 203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.71 : 614.67 = 135.84 : x
  2. Step 2: Convert to fraction form
    409.71/614.67 = 135.84/x
  3. Step 3: Cross multiply
    409.71x = 614.67 × 135.84
  4. Step 4: Simplify right side
    409.71x = 83,496.77
  5. Step 5: Solve for x
    x = 83,496.77/409.71
  6. Step 6: Final answer
    x = 203.79

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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.