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Finding the Fourth Proportional to 409.78, 614.52 and 135.82

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Solution

The fourth proportional to 409.78, 614.52 and 135.82 is: 203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.78 : 614.52 = 135.82 : x
  2. Step 2: Convert to fraction form
    409.78/614.52 = 135.82/x
  3. Step 3: Cross multiply
    409.78x = 614.52 × 135.82
  4. Step 4: Simplify right side
    409.78x = 83,464.11
  5. Step 5: Solve for x
    x = 83,464.11/409.78
  6. Step 6: Final answer
    x = 203.68

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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.