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Finding the Fourth Proportional to 644.75, 967.43 and 233.97

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Solution

The fourth proportional to 644.75, 967.43 and 233.97 is: 351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.75 : 967.43 = 233.97 : x
  2. Step 2: Convert to fraction form
    644.75/967.43 = 233.97/x
  3. Step 3: Cross multiply
    644.75x = 967.43 × 233.97
  4. Step 4: Simplify right side
    644.75x = 226,349.60
  5. Step 5: Solve for x
    x = 226,349.60/644.75
  6. Step 6: Final answer
    x = 351.07

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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.