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Finding the Fourth Proportional to 355.62, 490.71 and 208.23

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Solution

The fourth proportional to 355.62, 490.71 and 208.23 is: 287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.62 : 490.71 = 208.23 : x
  2. Step 2: Convert to fraction form
    355.62/490.71 = 208.23/x
  3. Step 3: Cross multiply
    355.62x = 490.71 × 208.23
  4. Step 4: Simplify right side
    355.62x = 102,180.54
  5. Step 5: Solve for x
    x = 102,180.54/355.62
  6. Step 6: Final answer
    x = 287.33

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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.