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Finding the Fourth Proportional to 516.56, 774.71 and 204.19

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Solution

The fourth proportional to 516.56, 774.71 and 204.19 is: 306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.56 : 774.71 = 204.19 : x
  2. Step 2: Convert to fraction form
    516.56/774.71 = 204.19/x
  3. Step 3: Cross multiply
    516.56x = 774.71 × 204.19
  4. Step 4: Simplify right side
    516.56x = 158,185.84
  5. Step 5: Solve for x
    x = 158,185.84/516.56
  6. Step 6: Final answer
    x = 306.23

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