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Finding the Fourth Proportional to 286.62, 395.10 and 224.31

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Solution

The fourth proportional to 286.62, 395.10 and 224.31 is: 309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.62 : 395.10 = 224.31 : x
  2. Step 2: Convert to fraction form
    286.62/395.10 = 224.31/x
  3. Step 3: Cross multiply
    286.62x = 395.10 × 224.31
  4. Step 4: Simplify right side
    286.62x = 88,624.88
  5. Step 5: Solve for x
    x = 88,624.88/286.62
  6. Step 6: Final answer
    x = 309.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.