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Finding the Fourth Proportional to 363.54, 501.75 and 208.29

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Solution

The fourth proportional to 363.54, 501.75 and 208.29 is: 287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.54 : 501.75 = 208.29 : x
  2. Step 2: Convert to fraction form
    363.54/501.75 = 208.29/x
  3. Step 3: Cross multiply
    363.54x = 501.75 × 208.29
  4. Step 4: Simplify right side
    363.54x = 104,509.51
  5. Step 5: Solve for x
    x = 104,509.51/363.54
  6. Step 6: Final answer
    x = 287.48

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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.