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Finding the Fourth Proportional to 409.39, 614.09 and 135.45

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Solution

The fourth proportional to 409.39, 614.09 and 135.45 is: 203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.39 : 614.09 = 135.45 : x
  2. Step 2: Convert to fraction form
    409.39/614.09 = 135.45/x
  3. Step 3: Cross multiply
    409.39x = 614.09 × 135.45
  4. Step 4: Simplify right side
    409.39x = 83,178.49
  5. Step 5: Solve for x
    x = 83,178.49/409.39
  6. Step 6: Final answer
    x = 203.18

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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.