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Finding the Fourth Proportional to 569.09, 853.56 and 198.83

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Solution

The fourth proportional to 569.09, 853.56 and 198.83 is: 298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.09 : 853.56 = 198.83 : x
  2. Step 2: Convert to fraction form
    569.09/853.56 = 198.83/x
  3. Step 3: Cross multiply
    569.09x = 853.56 × 198.83
  4. Step 4: Simplify right side
    569.09x = 169,709.07
  5. Step 5: Solve for x
    x = 169,709.07/569.09
  6. Step 6: Final answer
    x = 298.21

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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.