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Finding the Fourth Proportional to 637.73, 879.24 and 413.27

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Solution

The fourth proportional to 637.73, 879.24 and 413.27 is: 569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.73 : 879.24 = 413.27 : x
  2. Step 2: Convert to fraction form
    637.73/879.24 = 413.27/x
  3. Step 3: Cross multiply
    637.73x = 879.24 × 413.27
  4. Step 4: Simplify right side
    637.73x = 363,363.51
  5. Step 5: Solve for x
    x = 363,363.51/637.73
  6. Step 6: Final answer
    x = 569.78

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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.