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Finding the Fourth Proportional to 643.14, 965.12 and 369.43

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Solution

The fourth proportional to 643.14, 965.12 and 369.43 is: 554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.14 : 965.12 = 369.43 : x
  2. Step 2: Convert to fraction form
    643.14/965.12 = 369.43/x
  3. Step 3: Cross multiply
    643.14x = 965.12 × 369.43
  4. Step 4: Simplify right side
    643.14x = 356,540.02
  5. Step 5: Solve for x
    x = 356,540.02/643.14
  6. Step 6: Final answer
    x = 554.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.