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Finding the Fourth Proportional to 409.82, 613.63 and 327.17

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Solution

The fourth proportional to 409.82, 613.63 and 327.17 is: 489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.82 : 613.63 = 327.17 : x
  2. Step 2: Convert to fraction form
    409.82/613.63 = 327.17/x
  3. Step 3: Cross multiply
    409.82x = 613.63 × 327.17
  4. Step 4: Simplify right side
    409.82x = 200,757.44
  5. Step 5: Solve for x
    x = 200,757.44/409.82
  6. Step 6: Final answer
    x = 489.87

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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.