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Finding the Fourth Proportional to 521.78, 782.70 and 261.68

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Solution

The fourth proportional to 521.78, 782.70 and 261.68 is: 392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.78 : 782.70 = 261.68 : x
  2. Step 2: Convert to fraction form
    521.78/782.70 = 261.68/x
  3. Step 3: Cross multiply
    521.78x = 782.70 × 261.68
  4. Step 4: Simplify right side
    521.78x = 204,816.94
  5. Step 5: Solve for x
    x = 204,816.94/521.78
  6. Step 6: Final answer
    x = 392.54

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