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Finding the Fourth Proportional to 313.71, 470.57 and 198.97

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Solution

The fourth proportional to 313.71, 470.57 and 198.97 is: 298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.71 : 470.57 = 198.97 : x
  2. Step 2: Convert to fraction form
    313.71/470.57 = 198.97/x
  3. Step 3: Cross multiply
    313.71x = 470.57 × 198.97
  4. Step 4: Simplify right side
    313.71x = 93,629.31
  5. Step 5: Solve for x
    x = 93,629.31/313.71
  6. Step 6: Final answer
    x = 298.46

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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.