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Finding the Fourth Proportional to 363.62, 501.78 and 206.26

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Solution

The fourth proportional to 363.62, 501.78 and 206.26 is: 284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.62 : 501.78 = 206.26 : x
  2. Step 2: Convert to fraction form
    363.62/501.78 = 206.26/x
  3. Step 3: Cross multiply
    363.62x = 501.78 × 206.26
  4. Step 4: Simplify right side
    363.62x = 103,493.60
  5. Step 5: Solve for x
    x = 103,493.60/363.62
  6. Step 6: Final answer
    x = 284.62

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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.