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Finding the Fourth Proportional to 644.33, 965.84 and 233.34

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Solution

The fourth proportional to 644.33, 965.84 and 233.34 is: 349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.33 : 965.84 = 233.34 : x
  2. Step 2: Convert to fraction form
    644.33/965.84 = 233.34/x
  3. Step 3: Cross multiply
    644.33x = 965.84 × 233.34
  4. Step 4: Simplify right side
    644.33x = 225,367.94
  5. Step 5: Solve for x
    x = 225,367.94/644.33
  6. Step 6: Final answer
    x = 349.77

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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.