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Finding the Fourth Proportional to 408.86, 564.17 and 243.04

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Solution

The fourth proportional to 408.86, 564.17 and 243.04 is: 335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.86 : 564.17 = 243.04 : x
  2. Step 2: Convert to fraction form
    408.86/564.17 = 243.04/x
  3. Step 3: Cross multiply
    408.86x = 564.17 × 243.04
  4. Step 4: Simplify right side
    408.86x = 137,113.86
  5. Step 5: Solve for x
    x = 137,113.86/408.86
  6. Step 6: Final answer
    x = 335.36

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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.