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Finding the Fourth Proportional to 308.94, 462.93 and 286.12

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Solution

The fourth proportional to 308.94, 462.93 and 286.12 is: 428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.94 : 462.93 = 286.12 : x
  2. Step 2: Convert to fraction form
    308.94/462.93 = 286.12/x
  3. Step 3: Cross multiply
    308.94x = 462.93 × 286.12
  4. Step 4: Simplify right side
    308.94x = 132,453.53
  5. Step 5: Solve for x
    x = 132,453.53/308.94
  6. Step 6: Final answer
    x = 428.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.