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Finding the Fourth Proportional to 550.75, 826.17 and 238.42

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Solution

The fourth proportional to 550.75, 826.17 and 238.42 is: 357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.75 : 826.17 = 238.42 : x
  2. Step 2: Convert to fraction form
    550.75/826.17 = 238.42/x
  3. Step 3: Cross multiply
    550.75x = 826.17 × 238.42
  4. Step 4: Simplify right side
    550.75x = 196,978.76
  5. Step 5: Solve for x
    x = 196,978.76/550.75
  6. Step 6: Final answer
    x = 357.65

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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.