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Finding the Fourth Proportional to 429.16, 643.20 and 185.40

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Solution

The fourth proportional to 429.16, 643.20 and 185.40 is: 277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.16 : 643.20 = 185.40 : x
  2. Step 2: Convert to fraction form
    429.16/643.20 = 185.40/x
  3. Step 3: Cross multiply
    429.16x = 643.20 × 185.40
  4. Step 4: Simplify right side
    429.16x = 119,249.28
  5. Step 5: Solve for x
    x = 119,249.28/429.16
  6. Step 6: Final answer
    x = 277.87

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