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Finding the Fourth Proportional to 355.74, 490.80 and 206.38

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Solution

The fourth proportional to 355.74, 490.80 and 206.38 is: 284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.74 : 490.80 = 206.38 : x
  2. Step 2: Convert to fraction form
    355.74/490.80 = 206.38/x
  3. Step 3: Cross multiply
    355.74x = 490.80 × 206.38
  4. Step 4: Simplify right side
    355.74x = 101,291.30
  5. Step 5: Solve for x
    x = 101,291.30/355.74
  6. Step 6: Final answer
    x = 284.73

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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.