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Finding the Fourth Proportional to 728.30, 1,005 and 413.60

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Solution

The fourth proportional to 728.30, 1,005 and 413.60 is: 570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.30 : 1,005 = 413.60 : x
  2. Step 2: Convert to fraction form
    728.30/1,005 = 413.60/x
  3. Step 3: Cross multiply
    728.30x = 1,005 × 413.60
  4. Step 4: Simplify right side
    728.30x = 415,662.98
  5. Step 5: Solve for x
    x = 415,662.98/728.30
  6. Step 6: Final answer
    x = 570.73

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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.