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Finding the Fourth Proportional to 276.42, 414.63 and 261.84

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Solution

The fourth proportional to 276.42, 414.63 and 261.84 is: 392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 414.63 = 261.84 : x
  2. Step 2: Convert to fraction form
    276.42/414.63 = 261.84/x
  3. Step 3: Cross multiply
    276.42x = 414.63 × 261.84
  4. Step 4: Simplify right side
    276.42x = 108,566.72
  5. Step 5: Solve for x
    x = 108,566.72/276.42
  6. Step 6: Final answer
    x = 392.76

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