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Finding the Fourth Proportional to 644.24, 964.44 and 489.68

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Solution

The fourth proportional to 644.24, 964.44 and 489.68 is: 733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.24 : 964.44 = 489.68 : x
  2. Step 2: Convert to fraction form
    644.24/964.44 = 489.68/x
  3. Step 3: Cross multiply
    644.24x = 964.44 × 489.68
  4. Step 4: Simplify right side
    644.24x = 472,266.98
  5. Step 5: Solve for x
    x = 472,266.98/644.24
  6. Step 6: Final answer
    x = 733.06

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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.