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Finding the Fourth Proportional to 517.62, 776.79 and 209.82

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Solution

The fourth proportional to 517.62, 776.79 and 209.82 is: 314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.62 : 776.79 = 209.82 : x
  2. Step 2: Convert to fraction form
    517.62/776.79 = 209.82/x
  3. Step 3: Cross multiply
    517.62x = 776.79 × 209.82
  4. Step 4: Simplify right side
    517.62x = 162,986.08
  5. Step 5: Solve for x
    x = 162,986.08/517.62
  6. Step 6: Final answer
    x = 314.88

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