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Finding the Fourth Proportional to 644.24, 967.94 and 413.22

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Solution

The fourth proportional to 644.24, 967.94 and 413.22 is: 620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.24 : 967.94 = 413.22 : x
  2. Step 2: Convert to fraction form
    644.24/967.94 = 413.22/x
  3. Step 3: Cross multiply
    644.24x = 967.94 × 413.22
  4. Step 4: Simplify right side
    644.24x = 399,970.10
  5. Step 5: Solve for x
    x = 399,970.10/644.24
  6. Step 6: Final answer
    x = 620.85

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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.