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Finding the Fourth Proportional to 363.39, 501.43 and 206.05

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Solution

The fourth proportional to 363.39, 501.43 and 206.05 is: 284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.39 : 501.43 = 206.05 : x
  2. Step 2: Convert to fraction form
    363.39/501.43 = 206.05/x
  3. Step 3: Cross multiply
    363.39x = 501.43 × 206.05
  4. Step 4: Simplify right side
    363.39x = 103,319.65
  5. Step 5: Solve for x
    x = 103,319.65/363.39
  6. Step 6: Final answer
    x = 284.32

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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.