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Finding the Fourth Proportional to 354.70, 489.57 and 223.69

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Solution

The fourth proportional to 354.70, 489.57 and 223.69 is: 308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.70 : 489.57 = 223.69 : x
  2. Step 2: Convert to fraction form
    354.70/489.57 = 223.69/x
  3. Step 3: Cross multiply
    354.70x = 489.57 × 223.69
  4. Step 4: Simplify right side
    354.70x = 109,511.91
  5. Step 5: Solve for x
    x = 109,511.91/354.70
  6. Step 6: Final answer
    x = 308.75

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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.