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Finding the Fourth Proportional to 299.77, 448.67 and 272.09

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Solution

The fourth proportional to 299.77, 448.67 and 272.09 is: 407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.77 : 448.67 = 272.09 : x
  2. Step 2: Convert to fraction form
    299.77/448.67 = 272.09/x
  3. Step 3: Cross multiply
    299.77x = 448.67 × 272.09
  4. Step 4: Simplify right side
    299.77x = 122,080.42
  5. Step 5: Solve for x
    x = 122,080.42/299.77
  6. Step 6: Final answer
    x = 407.25

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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.