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Finding the Fourth Proportional to 643.93, 965.39 and 331.07

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Solution

The fourth proportional to 643.93, 965.39 and 331.07 is: 496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.93 : 965.39 = 331.07 : x
  2. Step 2: Convert to fraction form
    643.93/965.39 = 331.07/x
  3. Step 3: Cross multiply
    643.93x = 965.39 × 331.07
  4. Step 4: Simplify right side
    643.93x = 319,605.19
  5. Step 5: Solve for x
    x = 319,605.19/643.93
  6. Step 6: Final answer
    x = 496.34

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Why These Related Problems?

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