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Finding the Fourth Proportional to 297.81, 449.60 and 296.19

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Solution

The fourth proportional to 297.81, 449.60 and 296.19 is: 447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.81 : 449.60 = 296.19 : x
  2. Step 2: Convert to fraction form
    297.81/449.60 = 296.19/x
  3. Step 3: Cross multiply
    297.81x = 449.60 × 296.19
  4. Step 4: Simplify right side
    297.81x = 133,165.54
  5. Step 5: Solve for x
    x = 133,165.54/297.81
  6. Step 6: Final answer
    x = 447.15

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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.