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Finding the Fourth Proportional to 712.44, 982.98 and 413.58

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Solution

The fourth proportional to 712.44, 982.98 and 413.58 is: 570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.44 : 982.98 = 413.58 : x
  2. Step 2: Convert to fraction form
    712.44/982.98 = 413.58/x
  3. Step 3: Cross multiply
    712.44x = 982.98 × 413.58
  4. Step 4: Simplify right side
    712.44x = 406,540.87
  5. Step 5: Solve for x
    x = 406,540.87/712.44
  6. Step 6: Final answer
    x = 570.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.