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Finding the Fourth Proportional to 353.89, 488.17 and 206.43

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Solution

The fourth proportional to 353.89, 488.17 and 206.43 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.89 : 488.17 = 206.43 : x
  2. Step 2: Convert to fraction form
    353.89/488.17 = 206.43/x
  3. Step 3: Cross multiply
    353.89x = 488.17 × 206.43
  4. Step 4: Simplify right side
    353.89x = 100,772.42
  5. Step 5: Solve for x
    x = 100,772.42/353.89
  6. Step 6: Final answer
    x = 284.76

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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.