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Finding the Fourth Proportional to 643.73, 965.33 and 351.47

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Solution

The fourth proportional to 643.73, 965.33 and 351.47 is: 527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.73 : 965.33 = 351.47 : x
  2. Step 2: Convert to fraction form
    643.73/965.33 = 351.47/x
  3. Step 3: Cross multiply
    643.73x = 965.33 × 351.47
  4. Step 4: Simplify right side
    643.73x = 339,282.78
  5. Step 5: Solve for x
    x = 339,282.78/643.73
  6. Step 6: Final answer
    x = 527.06

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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.