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Finding the Fourth Proportional to 355.29, 490.27 and 207.91

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Solution

The fourth proportional to 355.29, 490.27 and 207.91 is: 286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.29 : 490.27 = 207.91 : x
  2. Step 2: Convert to fraction form
    355.29/490.27 = 207.91/x
  3. Step 3: Cross multiply
    355.29x = 490.27 × 207.91
  4. Step 4: Simplify right side
    355.29x = 101,932.04
  5. Step 5: Solve for x
    x = 101,932.04/355.29
  6. Step 6: Final answer
    x = 286.90

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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.