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Finding the Fourth Proportional to 354.44, 489.17 and 221.74

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Solution

The fourth proportional to 354.44, 489.17 and 221.74 is: 306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.44 : 489.17 = 221.74 : x
  2. Step 2: Convert to fraction form
    354.44/489.17 = 221.74/x
  3. Step 3: Cross multiply
    354.44x = 489.17 × 221.74
  4. Step 4: Simplify right side
    354.44x = 108,467.89
  5. Step 5: Solve for x
    x = 108,467.89/354.44
  6. Step 6: Final answer
    x = 306.02

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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.