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Finding the Fourth Proportional to 550.29, 824.96 and 225.44

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Solution

The fourth proportional to 550.29, 824.96 and 225.44 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.29 : 824.96 = 225.44 : x
  2. Step 2: Convert to fraction form
    550.29/824.96 = 225.44/x
  3. Step 3: Cross multiply
    550.29x = 824.96 × 225.44
  4. Step 4: Simplify right side
    550.29x = 185,973.73
  5. Step 5: Solve for x
    x = 185,973.73/550.29
  6. Step 6: Final answer
    x = 337.96

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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.