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Finding the Fourth Proportional to 363.31, 501.26 and 208.03

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Solution

The fourth proportional to 363.31, 501.26 and 208.03 is: 287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.31 : 501.26 = 208.03 : x
  2. Step 2: Convert to fraction form
    363.31/501.26 = 208.03/x
  3. Step 3: Cross multiply
    363.31x = 501.26 × 208.03
  4. Step 4: Simplify right side
    363.31x = 104,276.08
  5. Step 5: Solve for x
    x = 104,276.08/363.31
  6. Step 6: Final answer
    x = 287.02

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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.