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Finding the Fourth Proportional to 644.44, 966.37 and 274.23

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Solution

The fourth proportional to 644.44, 966.37 and 274.23 is: 411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.44 : 966.37 = 274.23 : x
  2. Step 2: Convert to fraction form
    644.44/966.37 = 274.23/x
  3. Step 3: Cross multiply
    644.44x = 966.37 × 274.23
  4. Step 4: Simplify right side
    644.44x = 265,006.96
  5. Step 5: Solve for x
    x = 265,006.96/644.44
  6. Step 6: Final answer
    x = 411.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.