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Finding the Fourth Proportional to 550.49, 826.04 and 225.78

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Solution

The fourth proportional to 550.49, 826.04 and 225.78 is: 338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.49 : 826.04 = 225.78 : x
  2. Step 2: Convert to fraction form
    550.49/826.04 = 225.78/x
  3. Step 3: Cross multiply
    550.49x = 826.04 × 225.78
  4. Step 4: Simplify right side
    550.49x = 186,503.31
  5. Step 5: Solve for x
    x = 186,503.31/550.49
  6. Step 6: Final answer
    x = 338.80

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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.