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Finding the Fourth Proportional to 409.56, 613.82 and 227

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Solution

The fourth proportional to 409.56, 613.82 and 227 is: 340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.56 : 613.82 = 227 : x
  2. Step 2: Convert to fraction form
    409.56/613.82 = 227/x
  3. Step 3: Cross multiply
    409.56x = 613.82 × 227
  4. Step 4: Simplify right side
    409.56x = 139,337.14
  5. Step 5: Solve for x
    x = 139,337.14/409.56
  6. Step 6: Final answer
    x = 340.21

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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.