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Finding the Fourth Proportional to 421.67, 631.60 and 204.80

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Solution

The fourth proportional to 421.67, 631.60 and 204.80 is: 306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.67 : 631.60 = 204.80 : x
  2. Step 2: Convert to fraction form
    421.67/631.60 = 204.80/x
  3. Step 3: Cross multiply
    421.67x = 631.60 × 204.80
  4. Step 4: Simplify right side
    421.67x = 129,351.68
  5. Step 5: Solve for x
    x = 129,351.68/421.67
  6. Step 6: Final answer
    x = 306.76

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