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Finding the Fourth Proportional to 409.40, 614.00 and 135.41

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Solution

The fourth proportional to 409.40, 614.00 and 135.41 is: 203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.40 : 614.00 = 135.41 : x
  2. Step 2: Convert to fraction form
    409.40/614.00 = 135.41/x
  3. Step 3: Cross multiply
    409.40x = 614.00 × 135.41
  4. Step 4: Simplify right side
    409.40x = 83,143.61
  5. Step 5: Solve for x
    x = 83,143.61/409.40
  6. Step 6: Final answer
    x = 203.09

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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.