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Finding the Fourth Proportional to 334.23, 500.80 and 204.09

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Solution

The fourth proportional to 334.23, 500.80 and 204.09 is: 305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.23 : 500.80 = 204.09 : x
  2. Step 2: Convert to fraction form
    334.23/500.80 = 204.09/x
  3. Step 3: Cross multiply
    334.23x = 500.80 × 204.09
  4. Step 4: Simplify right side
    334.23x = 102,204.75
  5. Step 5: Solve for x
    x = 102,204.75/334.23
  6. Step 6: Final answer
    x = 305.80

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