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Finding the Fourth Proportional to 299.89, 450.24 and 272.35

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Solution

The fourth proportional to 299.89, 450.24 and 272.35 is: 408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.89 : 450.24 = 272.35 : x
  2. Step 2: Convert to fraction form
    299.89/450.24 = 272.35/x
  3. Step 3: Cross multiply
    299.89x = 450.24 × 272.35
  4. Step 4: Simplify right side
    299.89x = 122,622.86
  5. Step 5: Solve for x
    x = 122,622.86/299.89
  6. Step 6: Final answer
    x = 408.89

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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.