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Finding the Fourth Proportional to 363.50, 501.66 and 208.28

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Solution

The fourth proportional to 363.50, 501.66 and 208.28 is: 287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 501.66 = 208.28 : x
  2. Step 2: Convert to fraction form
    363.50/501.66 = 208.28/x
  3. Step 3: Cross multiply
    363.50x = 501.66 × 208.28
  4. Step 4: Simplify right side
    363.50x = 104,485.74
  5. Step 5: Solve for x
    x = 104,485.74/363.50
  6. Step 6: Final answer
    x = 287.44

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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.