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Finding the Fourth Proportional to 429.48, 643.92 and 198.24

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Solution

The fourth proportional to 429.48, 643.92 and 198.24 is: 297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.48 : 643.92 = 198.24 : x
  2. Step 2: Convert to fraction form
    429.48/643.92 = 198.24/x
  3. Step 3: Cross multiply
    429.48x = 643.92 × 198.24
  4. Step 4: Simplify right side
    429.48x = 127,648.38
  5. Step 5: Solve for x
    x = 127,648.38/429.48
  6. Step 6: Final answer
    x = 297.22

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