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Finding the Fourth Proportional to 276.57, 413.34 and 254.68

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Solution

The fourth proportional to 276.57, 413.34 and 254.68 is: 380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.57 : 413.34 = 254.68 : x
  2. Step 2: Convert to fraction form
    276.57/413.34 = 254.68/x
  3. Step 3: Cross multiply
    276.57x = 413.34 × 254.68
  4. Step 4: Simplify right side
    276.57x = 105,268.40
  5. Step 5: Solve for x
    x = 105,268.40/276.57
  6. Step 6: Final answer
    x = 380.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.