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Finding the Fourth Proportional to 662.27, 914.27 and 413.73

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Solution

The fourth proportional to 662.27, 914.27 and 413.73 is: 571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.27 : 914.27 = 413.73 : x
  2. Step 2: Convert to fraction form
    662.27/914.27 = 413.73/x
  3. Step 3: Cross multiply
    662.27x = 914.27 × 413.73
  4. Step 4: Simplify right side
    662.27x = 378,258.86
  5. Step 5: Solve for x
    x = 378,258.86/662.27
  6. Step 6: Final answer
    x = 571.15

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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.