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Finding the Fourth Proportional to 426.08, 638.64 and 206.70

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Solution

The fourth proportional to 426.08, 638.64 and 206.70 is: 309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.08 : 638.64 = 206.70 : x
  2. Step 2: Convert to fraction form
    426.08/638.64 = 206.70/x
  3. Step 3: Cross multiply
    426.08x = 638.64 × 206.70
  4. Step 4: Simplify right side
    426.08x = 132,006.89
  5. Step 5: Solve for x
    x = 132,006.89/426.08
  6. Step 6: Final answer
    x = 309.82

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