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Finding the Fourth Proportional to 442.97, 610.45 and 293.43

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Solution

The fourth proportional to 442.97, 610.45 and 293.43 is: 404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.97 : 610.45 = 293.43 : x
  2. Step 2: Convert to fraction form
    442.97/610.45 = 293.43/x
  3. Step 3: Cross multiply
    442.97x = 610.45 × 293.43
  4. Step 4: Simplify right side
    442.97x = 179,124.34
  5. Step 5: Solve for x
    x = 179,124.34/442.97
  6. Step 6: Final answer
    x = 404.37

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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.