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Finding the Fourth Proportional to 363.59, 501.73 and 206.21

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Solution

The fourth proportional to 363.59, 501.73 and 206.21 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.59 : 501.73 = 206.21 : x
  2. Step 2: Convert to fraction form
    363.59/501.73 = 206.21/x
  3. Step 3: Cross multiply
    363.59x = 501.73 × 206.21
  4. Step 4: Simplify right side
    363.59x = 103,462.48
  5. Step 5: Solve for x
    x = 103,462.48/363.59
  6. Step 6: Final answer
    x = 284.56

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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.