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Finding the Fourth Proportional to 728, 1,004.66 and 413.31

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Solution

The fourth proportional to 728, 1,004.66 and 413.31 is: 570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    728 : 1,004.66 = 413.31 : x
  2. Step 2: Convert to fraction form
    728/1,004.66 = 413.31/x
  3. Step 3: Cross multiply
    728x = 1,004.66 × 413.31
  4. Step 4: Simplify right side
    728x = 415,236.02
  5. Step 5: Solve for x
    x = 415,236.02/728
  6. Step 6: Final answer
    x = 570.38

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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.