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Finding the Fourth Proportional to 647.98, 971.67 and 209.15

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Solution

The fourth proportional to 647.98, 971.67 and 209.15 is: 313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.98 : 971.67 = 209.15 : x
  2. Step 2: Convert to fraction form
    647.98/971.67 = 209.15/x
  3. Step 3: Cross multiply
    647.98x = 971.67 × 209.15
  4. Step 4: Simplify right side
    647.98x = 203,218.88
  5. Step 5: Solve for x
    x = 203,218.88/647.98
  6. Step 6: Final answer
    x = 313.62

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