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Finding the Fourth Proportional to 550.11, 824.38 and 330.83

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Solution

The fourth proportional to 550.11, 824.38 and 330.83 is: 495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.11 : 824.38 = 330.83 : x
  2. Step 2: Convert to fraction form
    550.11/824.38 = 330.83/x
  3. Step 3: Cross multiply
    550.11x = 824.38 × 330.83
  4. Step 4: Simplify right side
    550.11x = 272,723.86
  5. Step 5: Solve for x
    x = 272,723.86/550.11
  6. Step 6: Final answer
    x = 495.76

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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.