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Finding the Fourth Proportional to 409.16, 564.48 and 269.43

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Solution

The fourth proportional to 409.16, 564.48 and 269.43 is: 371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.16 : 564.48 = 269.43 : x
  2. Step 2: Convert to fraction form
    409.16/564.48 = 269.43/x
  3. Step 3: Cross multiply
    409.16x = 564.48 × 269.43
  4. Step 4: Simplify right side
    409.16x = 152,087.85
  5. Step 5: Solve for x
    x = 152,087.85/409.16
  6. Step 6: Final answer
    x = 371.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.