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Finding the Fourth Proportional to 513.29, 768.71 and 281.84

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Solution

The fourth proportional to 513.29, 768.71 and 281.84 is: 422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.29 : 768.71 = 281.84 : x
  2. Step 2: Convert to fraction form
    513.29/768.71 = 281.84/x
  3. Step 3: Cross multiply
    513.29x = 768.71 × 281.84
  4. Step 4: Simplify right side
    513.29x = 216,647.97
  5. Step 5: Solve for x
    x = 216,647.97/513.29
  6. Step 6: Final answer
    x = 422.08

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