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Finding the Fourth Proportional to 670.43, 1,006.81 and 398.24

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Solution

The fourth proportional to 670.43, 1,006.81 and 398.24 is: 598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.43 : 1,006.81 = 398.24 : x
  2. Step 2: Convert to fraction form
    670.43/1,006.81 = 398.24/x
  3. Step 3: Cross multiply
    670.43x = 1,006.81 × 398.24
  4. Step 4: Simplify right side
    670.43x = 400,945.98
  5. Step 5: Solve for x
    x = 400,945.98/670.43
  6. Step 6: Final answer
    x = 598.04

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