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Finding the Fourth Proportional to 354.87, 489.78 and 205.56

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Solution

The fourth proportional to 354.87, 489.78 and 205.56 is: 283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.87 : 489.78 = 205.56 : x
  2. Step 2: Convert to fraction form
    354.87/489.78 = 205.56/x
  3. Step 3: Cross multiply
    354.87x = 489.78 × 205.56
  4. Step 4: Simplify right side
    354.87x = 100,679.18
  5. Step 5: Solve for x
    x = 100,679.18/354.87
  6. Step 6: Final answer
    x = 283.71

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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.