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Finding the Fourth Proportional to 550.65, 823.89 and 338.82

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Solution

The fourth proportional to 550.65, 823.89 and 338.82 is: 506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.65 : 823.89 = 338.82 : x
  2. Step 2: Convert to fraction form
    550.65/823.89 = 338.82/x
  3. Step 3: Cross multiply
    550.65x = 823.89 × 338.82
  4. Step 4: Simplify right side
    550.65x = 279,154.55
  5. Step 5: Solve for x
    x = 279,154.55/550.65
  6. Step 6: Final answer
    x = 506.95

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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.