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Finding the Fourth Proportional to 712.22, 982.56 and 413.44

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Solution

The fourth proportional to 712.22, 982.56 and 413.44 is: 570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.22 : 982.56 = 413.44 : x
  2. Step 2: Convert to fraction form
    712.22/982.56 = 413.44/x
  3. Step 3: Cross multiply
    712.22x = 982.56 × 413.44
  4. Step 4: Simplify right side
    712.22x = 406,229.36
  5. Step 5: Solve for x
    x = 406,229.36/712.22
  6. Step 6: Final answer
    x = 570.37

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1.5x scale

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.