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Finding the Fourth Proportional to 354.82, 489.70 and 205.46

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Solution

The fourth proportional to 354.82, 489.70 and 205.46 is: 283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.82 : 489.70 = 205.46 : x
  2. Step 2: Convert to fraction form
    354.82/489.70 = 205.46/x
  3. Step 3: Cross multiply
    354.82x = 489.70 × 205.46
  4. Step 4: Simplify right side
    354.82x = 100,613.76
  5. Step 5: Solve for x
    x = 100,613.76/354.82
  6. Step 6: Final answer
    x = 283.56

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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.