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Finding the Fourth Proportional to 550.06, 824.82 and 225.25

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Solution

The fourth proportional to 550.06, 824.82 and 225.25 is: 337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.06 : 824.82 = 225.25 : x
  2. Step 2: Convert to fraction form
    550.06/824.82 = 225.25/x
  3. Step 3: Cross multiply
    550.06x = 824.82 × 225.25
  4. Step 4: Simplify right side
    550.06x = 185,790.71
  5. Step 5: Solve for x
    x = 185,790.71/550.06
  6. Step 6: Final answer
    x = 337.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.