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Finding the Fourth Proportional to 382.78, 576.20 and 261.78

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Solution

The fourth proportional to 382.78, 576.20 and 261.78 is: 394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.78 : 576.20 = 261.78 : x
  2. Step 2: Convert to fraction form
    382.78/576.20 = 261.78/x
  3. Step 3: Cross multiply
    382.78x = 576.20 × 261.78
  4. Step 4: Simplify right side
    382.78x = 150,837.64
  5. Step 5: Solve for x
    x = 150,837.64/382.78
  6. Step 6: Final answer
    x = 394.06

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