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Finding the Fourth Proportional to 728.21, 1,005.06 and 413.57

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Solution

The fourth proportional to 728.21, 1,005.06 and 413.57 is: 570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.21 : 1,005.06 = 413.57 : x
  2. Step 2: Convert to fraction form
    728.21/1,005.06 = 413.57/x
  3. Step 3: Cross multiply
    728.21x = 1,005.06 × 413.57
  4. Step 4: Simplify right side
    728.21x = 415,657.64
  5. Step 5: Solve for x
    x = 415,657.64/728.21
  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.