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Finding the Fourth Proportional to 298.82, 448.24 and 276.54

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Solution

The fourth proportional to 298.82, 448.24 and 276.54 is: 414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.82 : 448.24 = 276.54 : x
  2. Step 2: Convert to fraction form
    298.82/448.24 = 276.54/x
  3. Step 3: Cross multiply
    298.82x = 448.24 × 276.54
  4. Step 4: Simplify right side
    298.82x = 123,956.29
  5. Step 5: Solve for x
    x = 123,956.29/298.82
  6. Step 6: Final answer
    x = 414.82

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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.