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Finding the Fourth Proportional to 409.65, 614.42 and 135.74

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Solution

The fourth proportional to 409.65, 614.42 and 135.74 is: 203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.65 : 614.42 = 135.74 : x
  2. Step 2: Convert to fraction form
    409.65/614.42 = 135.74/x
  3. Step 3: Cross multiply
    409.65x = 614.42 × 135.74
  4. Step 4: Simplify right side
    409.65x = 83,397.62
  5. Step 5: Solve for x
    x = 83,397.62/409.65
  6. Step 6: Final answer
    x = 203.58

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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.