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Finding the Fourth Proportional to 313.83, 470.75 and 82.74

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Solution

The fourth proportional to 313.83, 470.75 and 82.74 is: 124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.83 : 470.75 = 82.74 : x
  2. Step 2: Convert to fraction form
    313.83/470.75 = 82.74/x
  3. Step 3: Cross multiply
    313.83x = 470.75 × 82.74
  4. Step 4: Simplify right side
    313.83x = 38,949.44
  5. Step 5: Solve for x
    x = 38,949.44/313.83
  6. Step 6: Final answer
    x = 124.11

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