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Finding the Fourth Proportional to 453.21, 679.85 and 413.61

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Solution

The fourth proportional to 453.21, 679.85 and 413.61 is: 620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.21 : 679.85 = 413.61 : x
  2. Step 2: Convert to fraction form
    453.21/679.85 = 413.61/x
  3. Step 3: Cross multiply
    453.21x = 679.85 × 413.61
  4. Step 4: Simplify right side
    453.21x = 281,190.69
  5. Step 5: Solve for x
    x = 281,190.69/453.21
  6. Step 6: Final answer
    x = 620.44

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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.