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Finding the Fourth Proportional to 644.18, 965.86 and 413.53

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Solution

The fourth proportional to 644.18, 965.86 and 413.53 is: 620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.18 : 965.86 = 413.53 : x
  2. Step 2: Convert to fraction form
    644.18/965.86 = 413.53/x
  3. Step 3: Cross multiply
    644.18x = 965.86 × 413.53
  4. Step 4: Simplify right side
    644.18x = 399,408.64
  5. Step 5: Solve for x
    x = 399,408.64/644.18
  6. Step 6: Final answer
    x = 620.03

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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.