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Finding the Fourth Proportional to 298.87, 450.94 and 296.44

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Solution

The fourth proportional to 298.87, 450.94 and 296.44 is: 447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.87 : 450.94 = 296.44 : x
  2. Step 2: Convert to fraction form
    298.87/450.94 = 296.44/x
  3. Step 3: Cross multiply
    298.87x = 450.94 × 296.44
  4. Step 4: Simplify right side
    298.87x = 133,676.65
  5. Step 5: Solve for x
    x = 133,676.65/298.87
  6. Step 6: Final answer
    x = 447.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.