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Finding the Fourth Proportional to 609.61, 914.37 and 198.74

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Solution

The fourth proportional to 609.61, 914.37 and 198.74 is: 298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.61 : 914.37 = 198.74 : x
  2. Step 2: Convert to fraction form
    609.61/914.37 = 198.74/x
  3. Step 3: Cross multiply
    609.61x = 914.37 × 198.74
  4. Step 4: Simplify right side
    609.61x = 181,719.41
  5. Step 5: Solve for x
    x = 181,719.41/609.61
  6. Step 6: Final answer
    x = 298.09

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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.