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Finding the Fourth Proportional to 304.25, 455.82 and 201.48

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Solution

The fourth proportional to 304.25, 455.82 and 201.48 is: 301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.25 : 455.82 = 201.48 : x
  2. Step 2: Convert to fraction form
    304.25/455.82 = 201.48/x
  3. Step 3: Cross multiply
    304.25x = 455.82 × 201.48
  4. Step 4: Simplify right side
    304.25x = 91,836.15
  5. Step 5: Solve for x
    x = 91,836.15/304.25
  6. Step 6: Final answer
    x = 301.85

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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.