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Finding the Fourth Proportional to 429.92, 645 and 198.88

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Solution

The fourth proportional to 429.92, 645 and 198.88 is: 298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.92 : 645 = 198.88 : x
  2. Step 2: Convert to fraction form
    429.92/645 = 198.88/x
  3. Step 3: Cross multiply
    429.92x = 645 × 198.88
  4. Step 4: Simplify right side
    429.92x = 128,277.60
  5. Step 5: Solve for x
    x = 128,277.60/429.92
  6. Step 6: Final answer
    x = 298.38

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