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Finding the Fourth Proportional to 644.13, 966.02 and 233.19

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Solution

The fourth proportional to 644.13, 966.02 and 233.19 is: 349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.13 : 966.02 = 233.19 : x
  2. Step 2: Convert to fraction form
    644.13/966.02 = 233.19/x
  3. Step 3: Cross multiply
    644.13x = 966.02 × 233.19
  4. Step 4: Simplify right side
    644.13x = 225,265.04
  5. Step 5: Solve for x
    x = 225,265.04/644.13
  6. Step 6: Final answer
    x = 349.72

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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.