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Finding the Fourth Proportional to 355.07, 490.02 and 207.73

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Solution

The fourth proportional to 355.07, 490.02 and 207.73 is: 286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.07 : 490.02 = 207.73 : x
  2. Step 2: Convert to fraction form
    355.07/490.02 = 207.73/x
  3. Step 3: Cross multiply
    355.07x = 490.02 × 207.73
  4. Step 4: Simplify right side
    355.07x = 101,791.85
  5. Step 5: Solve for x
    x = 101,791.85/355.07
  6. Step 6: Final answer
    x = 286.68

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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.