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Finding the Fourth Proportional to 286.04, 428.22 and 217.84

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Solution

The fourth proportional to 286.04, 428.22 and 217.84 is: 326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.04 : 428.22 = 217.84 : x
  2. Step 2: Convert to fraction form
    286.04/428.22 = 217.84/x
  3. Step 3: Cross multiply
    286.04x = 428.22 × 217.84
  4. Step 4: Simplify right side
    286.04x = 93,283.44
  5. Step 5: Solve for x
    x = 93,283.44/286.04
  6. Step 6: Final answer
    x = 326.12

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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.