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Finding the Fourth Proportional to 637.28, 879.66 and 413.52

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Solution

The fourth proportional to 637.28, 879.66 and 413.52 is: 570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.28 : 879.66 = 413.52 : x
  2. Step 2: Convert to fraction form
    637.28/879.66 = 413.52/x
  3. Step 3: Cross multiply
    637.28x = 879.66 × 413.52
  4. Step 4: Simplify right side
    637.28x = 363,757.00
  5. Step 5: Solve for x
    x = 363,757.00/637.28
  6. Step 6: Final answer
    x = 570.80

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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.