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Finding the Fourth Proportional to 323.20, 484.49 and 294.67

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Solution

The fourth proportional to 323.20, 484.49 and 294.67 is: 441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.20 : 484.49 = 294.67 : x
  2. Step 2: Convert to fraction form
    323.20/484.49 = 294.67/x
  3. Step 3: Cross multiply
    323.20x = 484.49 × 294.67
  4. Step 4: Simplify right side
    323.20x = 142,764.67
  5. Step 5: Solve for x
    x = 142,764.67/323.20
  6. Step 6: Final answer
    x = 441.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.