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Finding the Fourth Proportional to 308.96, 422.96 and 306.77

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Solution

The fourth proportional to 308.96, 422.96 and 306.77 is: 419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.96 : 422.96 = 306.77 : x
  2. Step 2: Convert to fraction form
    308.96/422.96 = 306.77/x
  3. Step 3: Cross multiply
    308.96x = 422.96 × 306.77
  4. Step 4: Simplify right side
    308.96x = 129,747.79
  5. Step 5: Solve for x
    x = 129,747.79/308.96
  6. Step 6: Final answer
    x = 419.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.