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Finding the Fourth Proportional to 644.42, 967.44 and 413.84

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Solution

The fourth proportional to 644.42, 967.44 and 413.84 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.42 : 967.44 = 413.84 : x
  2. Step 2: Convert to fraction form
    644.42/967.44 = 413.84/x
  3. Step 3: Cross multiply
    644.42x = 967.44 × 413.84
  4. Step 4: Simplify right side
    644.42x = 400,365.37
  5. Step 5: Solve for x
    x = 400,365.37/644.42
  6. Step 6: Final answer
    x = 621.28

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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.