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Finding the Fourth Proportional to 361.54, 541.80 and 280.21

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Solution

The fourth proportional to 361.54, 541.80 and 280.21 is: 419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.54 : 541.80 = 280.21 : x
  2. Step 2: Convert to fraction form
    361.54/541.80 = 280.21/x
  3. Step 3: Cross multiply
    361.54x = 541.80 × 280.21
  4. Step 4: Simplify right side
    361.54x = 151,817.78
  5. Step 5: Solve for x
    x = 151,817.78/361.54
  6. Step 6: Final answer
    x = 419.92

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