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Finding the Fourth Proportional to 308.96, 461.26 and 271.76

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Solution

The fourth proportional to 308.96, 461.26 and 271.76 is: 405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.96 : 461.26 = 271.76 : x
  2. Step 2: Convert to fraction form
    308.96/461.26 = 271.76/x
  3. Step 3: Cross multiply
    308.96x = 461.26 × 271.76
  4. Step 4: Simplify right side
    308.96x = 125,350.05
  5. Step 5: Solve for x
    x = 125,350.05/308.96
  6. Step 6: Final answer
    x = 405.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.