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Finding the Fourth Proportional to 308.84, 462.24 and 286.43

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Solution

The fourth proportional to 308.84, 462.24 and 286.43 is: 428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.84 : 462.24 = 286.43 : x
  2. Step 2: Convert to fraction form
    308.84/462.24 = 286.43/x
  3. Step 3: Cross multiply
    308.84x = 462.24 × 286.43
  4. Step 4: Simplify right side
    308.84x = 132,397.09
  5. Step 5: Solve for x
    x = 132,397.09/308.84
  6. Step 6: Final answer
    x = 428.70

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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.