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Finding the Fourth Proportional to 550.17, 824.43 and 275.85

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Solution

The fourth proportional to 550.17, 824.43 and 275.85 is: 413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.17 : 824.43 = 275.85 : x
  2. Step 2: Convert to fraction form
    550.17/824.43 = 275.85/x
  3. Step 3: Cross multiply
    550.17x = 824.43 × 275.85
  4. Step 4: Simplify right side
    550.17x = 227,419.02
  5. Step 5: Solve for x
    x = 227,419.02/550.17
  6. Step 6: Final answer
    x = 413.36

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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.