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Finding the Fourth Proportional to 1,305.75, 1,958.57 and 331.84

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Solution

The fourth proportional to 1,305.75, 1,958.57 and 331.84 is: 497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.75 : 1,958.57 = 331.84 : x
  2. Step 2: Convert to fraction form
    1,305.75/1,958.57 = 331.84/x
  3. Step 3: Cross multiply
    1,305.75x = 1,958.57 × 331.84
  4. Step 4: Simplify right side
    1,305.75x = 649,920.42
  5. Step 5: Solve for x
    x = 649,920.42/1,305.75
  6. Step 6: Final answer
    x = 497.74

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