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Finding the Fourth Proportional to 392.64, 541.28 and 275.84

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Solution

The fourth proportional to 392.64, 541.28 and 275.84 is: 380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.64 : 541.28 = 275.84 : x
  2. Step 2: Convert to fraction form
    392.64/541.28 = 275.84/x
  3. Step 3: Cross multiply
    392.64x = 541.28 × 275.84
  4. Step 4: Simplify right side
    392.64x = 149,306.68
  5. Step 5: Solve for x
    x = 149,306.68/392.64
  6. Step 6: Final answer
    x = 380.26

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