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Finding the Fourth Proportional to 463.20, 694.60 and 174.44

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Solution

The fourth proportional to 463.20, 694.60 and 174.44 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 694.60 = 174.44 : x
  2. Step 2: Convert to fraction form
    463.20/694.60 = 174.44/x
  3. Step 3: Cross multiply
    463.20x = 694.60 × 174.44
  4. Step 4: Simplify right side
    463.20x = 121,166.02
  5. Step 5: Solve for x
    x = 121,166.02/463.20
  6. Step 6: Final answer
    x = 261.58

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