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Finding the Fourth Proportional to 463.25, 694.74 and 138.54

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Solution

The fourth proportional to 463.25, 694.74 and 138.54 is: 207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.25 : 694.74 = 138.54 : x
  2. Step 2: Convert to fraction form
    463.25/694.74 = 138.54/x
  3. Step 3: Cross multiply
    463.25x = 694.74 × 138.54
  4. Step 4: Simplify right side
    463.25x = 96,249.28
  5. Step 5: Solve for x
    x = 96,249.28/463.25
  6. Step 6: Final answer
    x = 207.77

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