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Finding the Fourth Proportional to 430.79, 646.28 and 142.23

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Solution

The fourth proportional to 430.79, 646.28 and 142.23 is: 213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.79 : 646.28 = 142.23 : x
  2. Step 2: Convert to fraction form
    430.79/646.28 = 142.23/x
  3. Step 3: Cross multiply
    430.79x = 646.28 × 142.23
  4. Step 4: Simplify right side
    430.79x = 91,919.69
  5. Step 5: Solve for x
    x = 91,919.69/430.79
  6. Step 6: Final answer
    x = 213.38

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