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Finding the Fourth Proportional to 355.59, 490.76 and 208.22

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Solution

The fourth proportional to 355.59, 490.76 and 208.22 is: 287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.59 : 490.76 = 208.22 : x
  2. Step 2: Convert to fraction form
    355.59/490.76 = 208.22/x
  3. Step 3: Cross multiply
    355.59x = 490.76 × 208.22
  4. Step 4: Simplify right side
    355.59x = 102,183.78
  5. Step 5: Solve for x
    x = 102,183.78/355.59
  6. Step 6: Final answer
    x = 287.37

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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.