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Finding the Fourth Proportional to 297.73, 449.24 and 297.73

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Solution

The fourth proportional to 297.73, 449.24 and 297.73 is: 449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.73 : 449.24 = 297.73 : x
  2. Step 2: Convert to fraction form
    297.73/449.24 = 297.73/x
  3. Step 3: Cross multiply
    297.73x = 449.24 × 297.73
  4. Step 4: Simplify right side
    297.73x = 133,752.23
  5. Step 5: Solve for x
    x = 133,752.23/297.73
  6. Step 6: Final answer
    x = 449.24

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