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Finding the Fourth Proportional to 419.63, 628.78 and 213.92

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Solution

The fourth proportional to 419.63, 628.78 and 213.92 is: 320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.63 : 628.78 = 213.92 : x
  2. Step 2: Convert to fraction form
    419.63/628.78 = 213.92/x
  3. Step 3: Cross multiply
    419.63x = 628.78 × 213.92
  4. Step 4: Simplify right side
    419.63x = 134,511.23
  5. Step 5: Solve for x
    x = 134,511.23/419.63
  6. Step 6: Final answer
    x = 320.55

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