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Finding the Fourth Proportional to 304.20, 454.96 and 271.96

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Solution

The fourth proportional to 304.20, 454.96 and 271.96 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.20 : 454.96 = 271.96 : x
  2. Step 2: Convert to fraction form
    304.20/454.96 = 271.96/x
  3. Step 3: Cross multiply
    304.20x = 454.96 × 271.96
  4. Step 4: Simplify right side
    304.20x = 123,730.92
  5. Step 5: Solve for x
    x = 123,730.92/304.20
  6. Step 6: Final answer
    x = 406.74

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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.