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Finding the Fourth Proportional to 355.38, 490.32 and 208.02

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Solution

The fourth proportional to 355.38, 490.32 and 208.02 is: 287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.38 : 490.32 = 208.02 : x
  2. Step 2: Convert to fraction form
    355.38/490.32 = 208.02/x
  3. Step 3: Cross multiply
    355.38x = 490.32 × 208.02
  4. Step 4: Simplify right side
    355.38x = 101,996.37
  5. Step 5: Solve for x
    x = 101,996.37/355.38
  6. Step 6: Final answer
    x = 287.01

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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.