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Finding the Fourth Proportional to 299.24, 413.11 and 275.82

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Solution

The fourth proportional to 299.24, 413.11 and 275.82 is: 380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 413.11 = 275.82 : x
  2. Step 2: Convert to fraction form
    299.24/413.11 = 275.82/x
  3. Step 3: Cross multiply
    299.24x = 413.11 × 275.82
  4. Step 4: Simplify right side
    299.24x = 113,944.00
  5. Step 5: Solve for x
    x = 113,944.00/299.24
  6. Step 6: Final answer
    x = 380.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.