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Finding the Fourth Proportional to 463.24, 694.95 and 138.64

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Solution

The fourth proportional to 463.24, 694.95 and 138.64 is: 207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.24 : 694.95 = 138.64 : x
  2. Step 2: Convert to fraction form
    463.24/694.95 = 138.64/x
  3. Step 3: Cross multiply
    463.24x = 694.95 × 138.64
  4. Step 4: Simplify right side
    463.24x = 96,347.87
  5. Step 5: Solve for x
    x = 96,347.87/463.24
  6. Step 6: Final answer
    x = 207.99

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