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Finding the Fourth Proportional to 429.10, 643.71 and 120.96

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Solution

The fourth proportional to 429.10, 643.71 and 120.96 is: 181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.10 : 643.71 = 120.96 : x
  2. Step 2: Convert to fraction form
    429.10/643.71 = 120.96/x
  3. Step 3: Cross multiply
    429.10x = 643.71 × 120.96
  4. Step 4: Simplify right side
    429.10x = 77,863.62
  5. Step 5: Solve for x
    x = 77,863.62/429.10
  6. Step 6: Final answer
    x = 181.46

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