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Finding the Fourth Proportional to 312.91, 431.79 and 214.49

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Solution

The fourth proportional to 312.91, 431.79 and 214.49 is: 295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.91 : 431.79 = 214.49 : x
  2. Step 2: Convert to fraction form
    312.91/431.79 = 214.49/x
  3. Step 3: Cross multiply
    312.91x = 431.79 × 214.49
  4. Step 4: Simplify right side
    312.91x = 92,614.64
  5. Step 5: Solve for x
    x = 92,614.64/312.91
  6. Step 6: Final answer
    x = 295.98

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