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Finding the Fourth Proportional to 298, 411.24 and 206

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Solution

The fourth proportional to 298, 411.24 and 206 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298 : 411.24 = 206 : x
  2. Step 2: Convert to fraction form
    298/411.24 = 206/x
  3. Step 3: Cross multiply
    298x = 411.24 × 206
  4. Step 4: Simplify right side
    298x = 84,715.44
  5. Step 5: Solve for x
    x = 84,715.44/298
  6. Step 6: Final answer
    x = 284.28

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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.