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Finding the Fourth Proportional to 637.38, 879.75 and 413.28

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Solution

The fourth proportional to 637.38, 879.75 and 413.28 is: 570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.38 : 879.75 = 413.28 : x
  2. Step 2: Convert to fraction form
    637.38/879.75 = 413.28/x
  3. Step 3: Cross multiply
    637.38x = 879.75 × 413.28
  4. Step 4: Simplify right side
    637.38x = 363,583.08
  5. Step 5: Solve for x
    x = 363,583.08/637.38
  6. Step 6: Final answer
    x = 570.43

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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.