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Finding the Fourth Proportional to 431.38, 646.89 and 142.84

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Solution

The fourth proportional to 431.38, 646.89 and 142.84 is: 214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.38 : 646.89 = 142.84 : x
  2. Step 2: Convert to fraction form
    431.38/646.89 = 142.84/x
  3. Step 3: Cross multiply
    431.38x = 646.89 × 142.84
  4. Step 4: Simplify right side
    431.38x = 92,401.77
  5. Step 5: Solve for x
    x = 92,401.77/431.38
  6. Step 6: Final answer
    x = 214.20

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