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Finding the Fourth Proportional to 596.09, 821.90 and 413.73

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Solution

The fourth proportional to 596.09, 821.90 and 413.73 is: 570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.09 : 821.90 = 413.73 : x
  2. Step 2: Convert to fraction form
    596.09/821.90 = 413.73/x
  3. Step 3: Cross multiply
    596.09x = 821.90 × 413.73
  4. Step 4: Simplify right side
    596.09x = 340,045.72
  5. Step 5: Solve for x
    x = 340,045.72/596.09
  6. Step 6: Final answer
    x = 570.46

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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.