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Finding the Fourth Proportional to 644.22, 965.93 and 233.15

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Solution

The fourth proportional to 644.22, 965.93 and 233.15 is: 349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.22 : 965.93 = 233.15 : x
  2. Step 2: Convert to fraction form
    644.22/965.93 = 233.15/x
  3. Step 3: Cross multiply
    644.22x = 965.93 × 233.15
  4. Step 4: Simplify right side
    644.22x = 225,200.58
  5. Step 5: Solve for x
    x = 225,200.58/644.22
  6. Step 6: Final answer
    x = 349.57

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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.