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Finding the Fourth Proportional to 442.71, 664.07 and 199.31

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Solution

The fourth proportional to 442.71, 664.07 and 199.31 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.71 : 664.07 = 199.31 : x
  2. Step 2: Convert to fraction form
    442.71/664.07 = 199.31/x
  3. Step 3: Cross multiply
    442.71x = 664.07 × 199.31
  4. Step 4: Simplify right side
    442.71x = 132,351.47
  5. Step 5: Solve for x
    x = 132,351.47/442.71
  6. Step 6: Final answer
    x = 298.96

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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.