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Finding the Fourth Proportional to 643.92, 965.73 and 233.07

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Solution

The fourth proportional to 643.92, 965.73 and 233.07 is: 349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.92 : 965.73 = 233.07 : x
  2. Step 2: Convert to fraction form
    643.92/965.73 = 233.07/x
  3. Step 3: Cross multiply
    643.92x = 965.73 × 233.07
  4. Step 4: Simplify right side
    643.92x = 225,082.69
  5. Step 5: Solve for x
    x = 225,082.69/643.92
  6. Step 6: Final answer
    x = 349.55

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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.