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Finding the Fourth Proportional to 512.78, 768.53 and 219.94

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Solution

The fourth proportional to 512.78, 768.53 and 219.94 is: 329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.78 : 768.53 = 219.94 : x
  2. Step 2: Convert to fraction form
    512.78/768.53 = 219.94/x
  3. Step 3: Cross multiply
    512.78x = 768.53 × 219.94
  4. Step 4: Simplify right side
    512.78x = 169,027.42
  5. Step 5: Solve for x
    x = 169,027.42/512.78
  6. Step 6: Final answer
    x = 329.63

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