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Finding the Fourth Proportional to 550.29, 824.76 and 225.36

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Solution

The fourth proportional to 550.29, 824.76 and 225.36 is: 337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.29 : 824.76 = 225.36 : x
  2. Step 2: Convert to fraction form
    550.29/824.76 = 225.36/x
  3. Step 3: Cross multiply
    550.29x = 824.76 × 225.36
  4. Step 4: Simplify right side
    550.29x = 185,867.91
  5. Step 5: Solve for x
    x = 185,867.91/550.29
  6. Step 6: Final answer
    x = 337.76

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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.