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Finding the Fourth Proportional to 307.78, 422.95 and 255.94

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Solution

The fourth proportional to 307.78, 422.95 and 255.94 is: 351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.78 : 422.95 = 255.94 : x
  2. Step 2: Convert to fraction form
    307.78/422.95 = 255.94/x
  3. Step 3: Cross multiply
    307.78x = 422.95 × 255.94
  4. Step 4: Simplify right side
    307.78x = 108,249.82
  5. Step 5: Solve for x
    x = 108,249.82/307.78
  6. Step 6: Final answer
    x = 351.71

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