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Finding the Fourth Proportional to 361.64, 541.86 and 258.44

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Solution

The fourth proportional to 361.64, 541.86 and 258.44 is: 387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.64 : 541.86 = 258.44 : x
  2. Step 2: Convert to fraction form
    361.64/541.86 = 258.44/x
  3. Step 3: Cross multiply
    361.64x = 541.86 × 258.44
  4. Step 4: Simplify right side
    361.64x = 140,038.30
  5. Step 5: Solve for x
    x = 140,038.30/361.64
  6. Step 6: Final answer
    x = 387.23

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