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Finding the Fourth Proportional to 569.45, 853.86 and 222.54

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Solution

The fourth proportional to 569.45, 853.86 and 222.54 is: 333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.45 : 853.86 = 222.54 : x
  2. Step 2: Convert to fraction form
    569.45/853.86 = 222.54/x
  3. Step 3: Cross multiply
    569.45x = 853.86 × 222.54
  4. Step 4: Simplify right side
    569.45x = 190,016.89
  5. Step 5: Solve for x
    x = 190,016.89/569.45
  6. Step 6: Final answer
    x = 333.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.