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Finding the Fourth Proportional to 276.82, 413.14 and 256.75

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Solution

The fourth proportional to 276.82, 413.14 and 256.75 is: 383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.82 : 413.14 = 256.75 : x
  2. Step 2: Convert to fraction form
    276.82/413.14 = 256.75/x
  3. Step 3: Cross multiply
    276.82x = 413.14 × 256.75
  4. Step 4: Simplify right side
    276.82x = 106,073.70
  5. Step 5: Solve for x
    x = 106,073.70/276.82
  6. Step 6: Final answer
    x = 383.19

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