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Finding the Fourth Proportional to 517.58, 776.67 and 209.46

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Solution

The fourth proportional to 517.58, 776.67 and 209.46 is: 314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.58 : 776.67 = 209.46 : x
  2. Step 2: Convert to fraction form
    517.58/776.67 = 209.46/x
  3. Step 3: Cross multiply
    517.58x = 776.67 × 209.46
  4. Step 4: Simplify right side
    517.58x = 162,681.30
  5. Step 5: Solve for x
    x = 162,681.30/517.58
  6. Step 6: Final answer
    x = 314.31

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