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Finding the Fourth Proportional to 644.22, 967.86 and 413.55

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Solution

The fourth proportional to 644.22, 967.86 and 413.55 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.22 : 967.86 = 413.55 : x
  2. Step 2: Convert to fraction form
    644.22/967.86 = 413.55/x
  3. Step 3: Cross multiply
    644.22x = 967.86 × 413.55
  4. Step 4: Simplify right side
    644.22x = 400,258.50
  5. Step 5: Solve for x
    x = 400,258.50/644.22
  6. Step 6: Final answer
    x = 621.31

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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.