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Finding the Fourth Proportional to 568.83, 852.71 and 222.39

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Solution

The fourth proportional to 568.83, 852.71 and 222.39 is: 333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.83 : 852.71 = 222.39 : x
  2. Step 2: Convert to fraction form
    568.83/852.71 = 222.39/x
  3. Step 3: Cross multiply
    568.83x = 852.71 × 222.39
  4. Step 4: Simplify right side
    568.83x = 189,633.06
  5. Step 5: Solve for x
    x = 189,633.06/568.83
  6. Step 6: Final answer
    x = 333.37

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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.