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Finding the Fourth Proportional to 705.00, 1,057.46 and 314.76

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Solution

The fourth proportional to 705.00, 1,057.46 and 314.76 is: 472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.00 : 1,057.46 = 314.76 : x
  2. Step 2: Convert to fraction form
    705.00/1,057.46 = 314.76/x
  3. Step 3: Cross multiply
    705.00x = 1,057.46 × 314.76
  4. Step 4: Simplify right side
    705.00x = 332,839.25
  5. Step 5: Solve for x
    x = 332,839.25/705.00
  6. Step 6: Final answer
    x = 472.12

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