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Finding the Fourth Proportional to 609.28, 914.06 and 198.41

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Solution

The fourth proportional to 609.28, 914.06 and 198.41 is: 297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.28 : 914.06 = 198.41 : x
  2. Step 2: Convert to fraction form
    609.28/914.06 = 198.41/x
  3. Step 3: Cross multiply
    609.28x = 914.06 × 198.41
  4. Step 4: Simplify right side
    609.28x = 181,358.64
  5. Step 5: Solve for x
    x = 181,358.64/609.28
  6. Step 6: Final answer
    x = 297.66

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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.