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Finding the Fourth Proportional to 354.69, 489.17 and 223.67

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Solution

The fourth proportional to 354.69, 489.17 and 223.67 is: 308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.69 : 489.17 = 223.67 : x
  2. Step 2: Convert to fraction form
    354.69/489.17 = 223.67/x
  3. Step 3: Cross multiply
    354.69x = 489.17 × 223.67
  4. Step 4: Simplify right side
    354.69x = 109,414.44
  5. Step 5: Solve for x
    x = 109,414.44/354.69
  6. Step 6: Final answer
    x = 308.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.