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Finding the Fourth Proportional to 516.92, 775.44 and 208.78

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Solution

The fourth proportional to 516.92, 775.44 and 208.78 is: 313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 775.44 = 208.78 : x
  2. Step 2: Convert to fraction form
    516.92/775.44 = 208.78/x
  3. Step 3: Cross multiply
    516.92x = 775.44 × 208.78
  4. Step 4: Simplify right side
    516.92x = 161,894.42
  5. Step 5: Solve for x
    x = 161,894.42/516.92
  6. Step 6: Final answer
    x = 313.19

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