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Finding the Fourth Proportional to 609.52, 914.02 and 198.52

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Solution

The fourth proportional to 609.52, 914.02 and 198.52 is: 297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.52 : 914.02 = 198.52 : x
  2. Step 2: Convert to fraction form
    609.52/914.02 = 198.52/x
  3. Step 3: Cross multiply
    609.52x = 914.02 × 198.52
  4. Step 4: Simplify right side
    609.52x = 181,451.25
  5. Step 5: Solve for x
    x = 181,451.25/609.52
  6. Step 6: Final answer
    x = 297.70

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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.