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Finding the Fourth Proportional to 409.41, 614.01 and 135.42

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Solution

The fourth proportional to 409.41, 614.01 and 135.42 is: 203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.41 : 614.01 = 135.42 : x
  2. Step 2: Convert to fraction form
    409.41/614.01 = 135.42/x
  3. Step 3: Cross multiply
    409.41x = 614.01 × 135.42
  4. Step 4: Simplify right side
    409.41x = 83,149.23
  5. Step 5: Solve for x
    x = 83,149.23/409.41
  6. Step 6: Final answer
    x = 203.10

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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.