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Finding the Fourth Proportional to 538.30, 743.28 and 413.77

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Solution

The fourth proportional to 538.30, 743.28 and 413.77 is: 571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.30 : 743.28 = 413.77 : x
  2. Step 2: Convert to fraction form
    538.30/743.28 = 413.77/x
  3. Step 3: Cross multiply
    538.30x = 743.28 × 413.77
  4. Step 4: Simplify right side
    538.30x = 307,546.97
  5. Step 5: Solve for x
    x = 307,546.97/538.30
  6. Step 6: Final answer
    x = 571.33

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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.