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Finding the Fourth Proportional to 355.24, 489.94 and 207.82

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Solution

The fourth proportional to 355.24, 489.94 and 207.82 is: 286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.24 : 489.94 = 207.82 : x
  2. Step 2: Convert to fraction form
    355.24/489.94 = 207.82/x
  3. Step 3: Cross multiply
    355.24x = 489.94 × 207.82
  4. Step 4: Simplify right side
    355.24x = 101,819.33
  5. Step 5: Solve for x
    x = 101,819.33/355.24
  6. Step 6: Final answer
    x = 286.62

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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.