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Finding the Fourth Proportional to 463.05, 694.16 and 174.69

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Solution

The fourth proportional to 463.05, 694.16 and 174.69 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.05 : 694.16 = 174.69 : x
  2. Step 2: Convert to fraction form
    463.05/694.16 = 174.69/x
  3. Step 3: Cross multiply
    463.05x = 694.16 × 174.69
  4. Step 4: Simplify right side
    463.05x = 121,263.25
  5. Step 5: Solve for x
    x = 121,263.25/463.05
  6. Step 6: Final answer
    x = 261.88

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