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Finding the Fourth Proportional to 564.09, 845.74 and 198.68

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Solution

The fourth proportional to 564.09, 845.74 and 198.68 is: 297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.09 : 845.74 = 198.68 : x
  2. Step 2: Convert to fraction form
    564.09/845.74 = 198.68/x
  3. Step 3: Cross multiply
    564.09x = 845.74 × 198.68
  4. Step 4: Simplify right side
    564.09x = 168,031.62
  5. Step 5: Solve for x
    x = 168,031.62/564.09
  6. Step 6: Final answer
    x = 297.88

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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.