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Finding the Fourth Proportional to 643.77, 966.20 and 233.28

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Solution

The fourth proportional to 643.77, 966.20 and 233.28 is: 350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.77 : 966.20 = 233.28 : x
  2. Step 2: Convert to fraction form
    643.77/966.20 = 233.28/x
  3. Step 3: Cross multiply
    643.77x = 966.20 × 233.28
  4. Step 4: Simplify right side
    643.77x = 225,393.97
  5. Step 5: Solve for x
    x = 225,393.97/643.77
  6. Step 6: Final answer
    x = 350.12

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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.