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Finding the Fourth Proportional to 354.07, 488.47 and 206.65

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Solution

The fourth proportional to 354.07, 488.47 and 206.65 is: 285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.07 : 488.47 = 206.65 : x
  2. Step 2: Convert to fraction form
    354.07/488.47 = 206.65/x
  3. Step 3: Cross multiply
    354.07x = 488.47 × 206.65
  4. Step 4: Simplify right side
    354.07x = 100,942.33
  5. Step 5: Solve for x
    x = 100,942.33/354.07
  6. Step 6: Final answer
    x = 285.09

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