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Finding the Fourth Proportional to 512.76, 768.76 and 281.76

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Solution

The fourth proportional to 512.76, 768.76 and 281.76 is: 422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.76 : 768.76 = 281.76 : x
  2. Step 2: Convert to fraction form
    512.76/768.76 = 281.76/x
  3. Step 3: Cross multiply
    512.76x = 768.76 × 281.76
  4. Step 4: Simplify right side
    512.76x = 216,605.82
  5. Step 5: Solve for x
    x = 216,605.82/512.76
  6. Step 6: Final answer
    x = 422.43

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