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Finding the Fourth Proportional to 300.84, 449.12 and 297.76

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Solution

The fourth proportional to 300.84, 449.12 and 297.76 is: 444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.84 : 449.12 = 297.76 : x
  2. Step 2: Convert to fraction form
    300.84/449.12 = 297.76/x
  3. Step 3: Cross multiply
    300.84x = 449.12 × 297.76
  4. Step 4: Simplify right side
    300.84x = 133,729.97
  5. Step 5: Solve for x
    x = 133,729.97/300.84
  6. Step 6: Final answer
    x = 444.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.