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Finding the Fourth Proportional to 569.50, 853.82 and 222.66

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Solution

The fourth proportional to 569.50, 853.82 and 222.66 is: 333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.50 : 853.82 = 222.66 : x
  2. Step 2: Convert to fraction form
    569.50/853.82 = 222.66/x
  3. Step 3: Cross multiply
    569.50x = 853.82 × 222.66
  4. Step 4: Simplify right side
    569.50x = 190,107.85
  5. Step 5: Solve for x
    x = 190,107.85/569.50
  6. Step 6: Final answer
    x = 333.82

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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.