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Finding the Fourth Proportional to 463.14, 694.82 and 174.58

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Solution

The fourth proportional to 463.14, 694.82 and 174.58 is: 261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 694.82 = 174.58 : x
  2. Step 2: Convert to fraction form
    463.14/694.82 = 174.58/x
  3. Step 3: Cross multiply
    463.14x = 694.82 × 174.58
  4. Step 4: Simplify right side
    463.14x = 121,300.37
  5. Step 5: Solve for x
    x = 121,300.37/463.14
  6. Step 6: Final answer
    x = 261.91

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