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Finding the Fourth Proportional to 552.12, 826.38 and 408.12

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Solution

The fourth proportional to 552.12, 826.38 and 408.12 is: 610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.12 : 826.38 = 408.12 : x
  2. Step 2: Convert to fraction form
    552.12/826.38 = 408.12/x
  3. Step 3: Cross multiply
    552.12x = 826.38 × 408.12
  4. Step 4: Simplify right side
    552.12x = 337,262.21
  5. Step 5: Solve for x
    x = 337,262.21/552.12
  6. Step 6: Final answer
    x = 610.85

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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.