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Finding the Fourth Proportional to 517.16, 775.36 and 209.08

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Solution

The fourth proportional to 517.16, 775.36 and 209.08 is: 313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.16 : 775.36 = 209.08 : x
  2. Step 2: Convert to fraction form
    517.16/775.36 = 209.08/x
  3. Step 3: Cross multiply
    517.16x = 775.36 × 209.08
  4. Step 4: Simplify right side
    517.16x = 162,112.27
  5. Step 5: Solve for x
    x = 162,112.27/517.16
  6. Step 6: Final answer
    x = 313.47

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