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Finding the Fourth Proportional to 550.17, 824.88 and 276.12

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Solution

The fourth proportional to 550.17, 824.88 and 276.12 is: 413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.17 : 824.88 = 276.12 : x
  2. Step 2: Convert to fraction form
    550.17/824.88 = 276.12/x
  3. Step 3: Cross multiply
    550.17x = 824.88 × 276.12
  4. Step 4: Simplify right side
    550.17x = 227,765.87
  5. Step 5: Solve for x
    x = 227,765.87/550.17
  6. Step 6: Final answer
    x = 413.99

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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.