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Finding the Fourth Proportional to 723.76, 998.78 and 413.24

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Solution

The fourth proportional to 723.76, 998.78 and 413.24 is: 570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.76 : 998.78 = 413.24 : x
  2. Step 2: Convert to fraction form
    723.76/998.78 = 413.24/x
  3. Step 3: Cross multiply
    723.76x = 998.78 × 413.24
  4. Step 4: Simplify right side
    723.76x = 412,735.85
  5. Step 5: Solve for x
    x = 412,735.85/723.76
  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.