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Finding the Fourth Proportional to 363.58, 501.75 and 208.36

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Solution

The fourth proportional to 363.58, 501.75 and 208.36 is: 287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.58 : 501.75 = 208.36 : x
  2. Step 2: Convert to fraction form
    363.58/501.75 = 208.36/x
  3. Step 3: Cross multiply
    363.58x = 501.75 × 208.36
  4. Step 4: Simplify right side
    363.58x = 104,544.52
  5. Step 5: Solve for x
    x = 104,544.52/363.58
  6. Step 6: Final answer
    x = 287.54

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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.