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Finding the Fourth Proportional to 286.43, 395.55 and 219.02

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Solution

The fourth proportional to 286.43, 395.55 and 219.02 is: 302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.43 : 395.55 = 219.02 : x
  2. Step 2: Convert to fraction form
    286.43/395.55 = 219.02/x
  3. Step 3: Cross multiply
    286.43x = 395.55 × 219.02
  4. Step 4: Simplify right side
    286.43x = 86,631.38
  5. Step 5: Solve for x
    x = 86,631.38/286.43
  6. Step 6: Final answer
    x = 302.46

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Why These Related Problems?

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