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Finding the Fourth Proportional to 315.87, 473.24 and 205.97

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Solution

The fourth proportional to 315.87, 473.24 and 205.97 is: 308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.87 : 473.24 = 205.97 : x
  2. Step 2: Convert to fraction form
    315.87/473.24 = 205.97/x
  3. Step 3: Cross multiply
    315.87x = 473.24 × 205.97
  4. Step 4: Simplify right side
    315.87x = 97,469.85
  5. Step 5: Solve for x
    x = 97,469.85/315.87
  6. Step 6: Final answer
    x = 308.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.