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Finding the Fourth Proportional to 680.43, 1,020.57 and 315

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Solution

The fourth proportional to 680.43, 1,020.57 and 315 is: 472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.43 : 1,020.57 = 315 : x
  2. Step 2: Convert to fraction form
    680.43/1,020.57 = 315/x
  3. Step 3: Cross multiply
    680.43x = 1,020.57 × 315
  4. Step 4: Simplify right side
    680.43x = 321,479.55
  5. Step 5: Solve for x
    x = 321,479.55/680.43
  6. Step 6: Final answer
    x = 472.47

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