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Finding the Fourth Proportional to 457.82, 631.90 and 261.44

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Solution

The fourth proportional to 457.82, 631.90 and 261.44 is: 360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.82 : 631.90 = 261.44 : x
  2. Step 2: Convert to fraction form
    457.82/631.90 = 261.44/x
  3. Step 3: Cross multiply
    457.82x = 631.90 × 261.44
  4. Step 4: Simplify right side
    457.82x = 165,205.84
  5. Step 5: Solve for x
    x = 165,205.84/457.82
  6. Step 6: Final answer
    x = 360.86

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