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Finding the Fourth Proportional to 378.59, 523.28 and 349.43

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Solution

The fourth proportional to 378.59, 523.28 and 349.43 is: 482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.59 : 523.28 = 349.43 : x
  2. Step 2: Convert to fraction form
    378.59/523.28 = 349.43/x
  3. Step 3: Cross multiply
    378.59x = 523.28 × 349.43
  4. Step 4: Simplify right side
    378.59x = 182,847.98
  5. Step 5: Solve for x
    x = 182,847.98/378.59
  6. Step 6: Final answer
    x = 482.97

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