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Finding the Fourth Proportional to 463.12, 694.96 and 174.80

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Solution

The fourth proportional to 463.12, 694.96 and 174.80 is: 262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.12 : 694.96 = 174.80 : x
  2. Step 2: Convert to fraction form
    463.12/694.96 = 174.80/x
  3. Step 3: Cross multiply
    463.12x = 694.96 × 174.80
  4. Step 4: Simplify right side
    463.12x = 121,479.01
  5. Step 5: Solve for x
    x = 121,479.01/463.12
  6. Step 6: Final answer
    x = 262.31

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