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Finding the Fourth Proportional to 494.80, 681.96 and 378.64

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Solution

The fourth proportional to 494.80, 681.96 and 378.64 is: 521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.80 : 681.96 = 378.64 : x
  2. Step 2: Convert to fraction form
    494.80/681.96 = 378.64/x
  3. Step 3: Cross multiply
    494.80x = 681.96 × 378.64
  4. Step 4: Simplify right side
    494.80x = 258,217.33
  5. Step 5: Solve for x
    x = 258,217.33/494.80
  6. Step 6: Final answer
    x = 521.86

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