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Finding the Fourth Proportional to 429.56, 643.92 and 185.75

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Solution

The fourth proportional to 429.56, 643.92 and 185.75 is: 278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.56 : 643.92 = 185.75 : x
  2. Step 2: Convert to fraction form
    429.56/643.92 = 185.75/x
  3. Step 3: Cross multiply
    429.56x = 643.92 × 185.75
  4. Step 4: Simplify right side
    429.56x = 119,608.14
  5. Step 5: Solve for x
    x = 119,608.14/429.56
  6. Step 6: Final answer
    x = 278.44

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