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Finding the Fourth Proportional to 550.26, 824.85 and 225.45

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Solution

The fourth proportional to 550.26, 824.85 and 225.45 is: 337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.26 : 824.85 = 225.45 : x
  2. Step 2: Convert to fraction form
    550.26/824.85 = 225.45/x
  3. Step 3: Cross multiply
    550.26x = 824.85 × 225.45
  4. Step 4: Simplify right side
    550.26x = 185,962.43
  5. Step 5: Solve for x
    x = 185,962.43/550.26
  6. Step 6: Final answer
    x = 337.95

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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.