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Finding the Fourth Proportional to 517.78, 777.21 and 209.85

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Solution

The fourth proportional to 517.78, 777.21 and 209.85 is: 314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.78 : 777.21 = 209.85 : x
  2. Step 2: Convert to fraction form
    517.78/777.21 = 209.85/x
  3. Step 3: Cross multiply
    517.78x = 777.21 × 209.85
  4. Step 4: Simplify right side
    517.78x = 163,097.52
  5. Step 5: Solve for x
    x = 163,097.52/517.78
  6. Step 6: Final answer
    x = 314.99

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