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Finding the Fourth Proportional to 397.83, 596.78 and 137.79

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Solution

The fourth proportional to 397.83, 596.78 and 137.79 is: 206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.83 : 596.78 = 137.79 : x
  2. Step 2: Convert to fraction form
    397.83/596.78 = 137.79/x
  3. Step 3: Cross multiply
    397.83x = 596.78 × 137.79
  4. Step 4: Simplify right side
    397.83x = 82,230.32
  5. Step 5: Solve for x
    x = 82,230.32/397.83
  6. Step 6: Final answer
    x = 206.70

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