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Finding the Fourth Proportional to 609.29, 914.01 and 198.47

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Solution

The fourth proportional to 609.29, 914.01 and 198.47 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.29 : 914.01 = 198.47 : x
  2. Step 2: Convert to fraction form
    609.29/914.01 = 198.47/x
  3. Step 3: Cross multiply
    609.29x = 914.01 × 198.47
  4. Step 4: Simplify right side
    609.29x = 181,400.52
  5. Step 5: Solve for x
    x = 181,400.52/609.29
  6. Step 6: Final answer
    x = 297.73

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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.