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Finding the Fourth Proportional to 304.54, 456.49 and 268.09

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Solution

The fourth proportional to 304.54, 456.49 and 268.09 is: 401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.54 : 456.49 = 268.09 : x
  2. Step 2: Convert to fraction form
    304.54/456.49 = 268.09/x
  3. Step 3: Cross multiply
    304.54x = 456.49 × 268.09
  4. Step 4: Simplify right side
    304.54x = 122,380.40
  5. Step 5: Solve for x
    x = 122,380.40/304.54
  6. Step 6: Final answer
    x = 401.85

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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.