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Finding the Fourth Proportional to 592.82, 817.85 and 344.09

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Solution

The fourth proportional to 592.82, 817.85 and 344.09 is: 474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.82 : 817.85 = 344.09 : x
  2. Step 2: Convert to fraction form
    592.82/817.85 = 344.09/x
  3. Step 3: Cross multiply
    592.82x = 817.85 × 344.09
  4. Step 4: Simplify right side
    592.82x = 281,413.84
  5. Step 5: Solve for x
    x = 281,413.84/592.82
  6. Step 6: Final answer
    x = 474.71

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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.