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Finding the Fourth Proportional to 298.70, 449.01 and 297.26

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Solution

The fourth proportional to 298.70, 449.01 and 297.26 is: 446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.70 : 449.01 = 297.26 : x
  2. Step 2: Convert to fraction form
    298.70/449.01 = 297.26/x
  3. Step 3: Cross multiply
    298.70x = 449.01 × 297.26
  4. Step 4: Simplify right side
    298.70x = 133,472.71
  5. Step 5: Solve for x
    x = 133,472.71/298.70
  6. Step 6: Final answer
    x = 446.85

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Why These Related Problems?

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