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Finding the Fourth Proportional to 275.20, 413.10 and 273.17

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Solution

The fourth proportional to 275.20, 413.10 and 273.17 is: 410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 413.10 = 273.17 : x
  2. Step 2: Convert to fraction form
    275.20/413.10 = 273.17/x
  3. Step 3: Cross multiply
    275.20x = 413.10 × 273.17
  4. Step 4: Simplify right side
    275.20x = 112,847.56
  5. Step 5: Solve for x
    x = 112,847.56/275.20
  6. Step 6: Final answer
    x = 410.06

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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.