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Finding the Fourth Proportional to 609.58, 914.51 and 198.76

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Solution

The fourth proportional to 609.58, 914.51 and 198.76 is: 298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.58 : 914.51 = 198.76 : x
  2. Step 2: Convert to fraction form
    609.58/914.51 = 198.76/x
  3. Step 3: Cross multiply
    609.58x = 914.51 × 198.76
  4. Step 4: Simplify right side
    609.58x = 181,768.01
  5. Step 5: Solve for x
    x = 181,768.01/609.58
  6. Step 6: Final answer
    x = 298.19

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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.