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Finding the Fourth Proportional to 591.22, 815.09 and 413.94

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Solution

The fourth proportional to 591.22, 815.09 and 413.94 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.22 : 815.09 = 413.94 : x
  2. Step 2: Convert to fraction form
    591.22/815.09 = 413.94/x
  3. Step 3: Cross multiply
    591.22x = 815.09 × 413.94
  4. Step 4: Simplify right side
    591.22x = 337,396.28
  5. Step 5: Solve for x
    x = 337,396.28/591.22
  6. Step 6: Final answer
    x = 570.68

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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.