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Finding the Fourth Proportional to 409.11, 564.57 and 243.29

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Solution

The fourth proportional to 409.11, 564.57 and 243.29 is: 335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.11 : 564.57 = 243.29 : x
  2. Step 2: Convert to fraction form
    409.11/564.57 = 243.29/x
  3. Step 3: Cross multiply
    409.11x = 564.57 × 243.29
  4. Step 4: Simplify right side
    409.11x = 137,351.41
  5. Step 5: Solve for x
    x = 137,351.41/409.11
  6. Step 6: Final answer
    x = 335.73

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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.