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Finding the Fourth Proportional to 340.41, 469.75 and 209.42

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Solution

The fourth proportional to 340.41, 469.75 and 209.42 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.41 : 469.75 = 209.42 : x
  2. Step 2: Convert to fraction form
    340.41/469.75 = 209.42/x
  3. Step 3: Cross multiply
    340.41x = 469.75 × 209.42
  4. Step 4: Simplify right side
    340.41x = 98,375.05
  5. Step 5: Solve for x
    x = 98,375.05/340.41
  6. Step 6: Final answer
    x = 288.99

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