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Finding the Fourth Proportional to 591.09, 814.91 and 413.82

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Solution

The fourth proportional to 591.09, 814.91 and 413.82 is: 570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.09 : 814.91 = 413.82 : x
  2. Step 2: Convert to fraction form
    591.09/814.91 = 413.82/x
  3. Step 3: Cross multiply
    591.09x = 814.91 × 413.82
  4. Step 4: Simplify right side
    591.09x = 337,226.06
  5. Step 5: Solve for x
    x = 337,226.06/591.09
  6. Step 6: Final answer
    x = 570.52

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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.