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Finding the Fourth Proportional to 408.80, 564.10 and 243.05

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Solution

The fourth proportional to 408.80, 564.10 and 243.05 is: 335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 564.10 = 243.05 : x
  2. Step 2: Convert to fraction form
    408.80/564.10 = 243.05/x
  3. Step 3: Cross multiply
    408.80x = 564.10 × 243.05
  4. Step 4: Simplify right side
    408.80x = 137,103.29
  5. Step 5: Solve for x
    x = 137,103.29/408.80
  6. Step 6: Final answer
    x = 335.38

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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.