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Finding the Fourth Proportional to 568.89, 853.05 and 221.96

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Solution

The fourth proportional to 568.89, 853.05 and 221.96 is: 332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.89 : 853.05 = 221.96 : x
  2. Step 2: Convert to fraction form
    568.89/853.05 = 221.96/x
  3. Step 3: Cross multiply
    568.89x = 853.05 × 221.96
  4. Step 4: Simplify right side
    568.89x = 189,339.90
  5. Step 5: Solve for x
    x = 189,339.90/568.89
  6. Step 6: Final answer
    x = 332.82

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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.