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Finding the Fourth Proportional to 312.74, 468.83 and 209.62

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Solution

The fourth proportional to 312.74, 468.83 and 209.62 is: 314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.74 : 468.83 = 209.62 : x
  2. Step 2: Convert to fraction form
    312.74/468.83 = 209.62/x
  3. Step 3: Cross multiply
    312.74x = 468.83 × 209.62
  4. Step 4: Simplify right side
    312.74x = 98,276.14
  5. Step 5: Solve for x
    x = 98,276.14/312.74
  6. Step 6: Final answer
    x = 314.24

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