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Finding the Fourth Proportional to 568.72, 853.05 and 198.50

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Solution

The fourth proportional to 568.72, 853.05 and 198.50 is: 297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.72 : 853.05 = 198.50 : x
  2. Step 2: Convert to fraction form
    568.72/853.05 = 198.50/x
  3. Step 3: Cross multiply
    568.72x = 853.05 × 198.50
  4. Step 4: Simplify right side
    568.72x = 169,334.33
  5. Step 5: Solve for x
    x = 169,334.33/568.72
  6. Step 6: Final answer
    x = 297.74

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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.