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Finding the Fourth Proportional to 299.85, 449.97 and 297.57

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Solution

The fourth proportional to 299.85, 449.97 and 297.57 is: 446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.85 : 449.97 = 297.57 : x
  2. Step 2: Convert to fraction form
    299.85/449.97 = 297.57/x
  3. Step 3: Cross multiply
    299.85x = 449.97 × 297.57
  4. Step 4: Simplify right side
    299.85x = 133,897.57
  5. Step 5: Solve for x
    x = 133,897.57/299.85
  6. Step 6: Final answer
    x = 446.55

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