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Finding the Fourth Proportional to 643.43, 965.15 and 335.43

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Solution

The fourth proportional to 643.43, 965.15 and 335.43 is: 503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.43 : 965.15 = 335.43 : x
  2. Step 2: Convert to fraction form
    643.43/965.15 = 335.43/x
  3. Step 3: Cross multiply
    643.43x = 965.15 × 335.43
  4. Step 4: Simplify right side
    643.43x = 323,740.26
  5. Step 5: Solve for x
    x = 323,740.26/643.43
  6. Step 6: Final answer
    x = 503.15

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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.