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Finding the Fourth Proportional to 550.33, 824.73 and 225.34

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Solution

The fourth proportional to 550.33, 824.73 and 225.34 is: 337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.33 : 824.73 = 225.34 : x
  2. Step 2: Convert to fraction form
    550.33/824.73 = 225.34/x
  3. Step 3: Cross multiply
    550.33x = 824.73 × 225.34
  4. Step 4: Simplify right side
    550.33x = 185,844.66
  5. Step 5: Solve for x
    x = 185,844.66/550.33
  6. Step 6: Final answer
    x = 337.70

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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.