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Finding the Fourth Proportional to 605.92, 836.16 and 344

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Solution

The fourth proportional to 605.92, 836.16 and 344 is: 474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.92 : 836.16 = 344 : x
  2. Step 2: Convert to fraction form
    605.92/836.16 = 344/x
  3. Step 3: Cross multiply
    605.92x = 836.16 × 344
  4. Step 4: Simplify right side
    605.92x = 287,639.04
  5. Step 5: Solve for x
    x = 287,639.04/605.92
  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.