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Finding the Fourth Proportional to 723.77, 998.79 and 413.25

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Solution

The fourth proportional to 723.77, 998.79 and 413.25 is: 570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.77 : 998.79 = 413.25 : x
  2. Step 2: Convert to fraction form
    723.77/998.79 = 413.25/x
  3. Step 3: Cross multiply
    723.77x = 998.79 × 413.25
  4. Step 4: Simplify right side
    723.77x = 412,747.90
  5. Step 5: Solve for x
    x = 412,747.90/723.77
  6. Step 6: Final answer
    x = 570.27

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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.