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Finding the Fourth Proportional to 568.39, 852.33 and 221.52

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Solution

The fourth proportional to 568.39, 852.33 and 221.52 is: 332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.39 : 852.33 = 221.52 : x
  2. Step 2: Convert to fraction form
    568.39/852.33 = 221.52/x
  3. Step 3: Cross multiply
    568.39x = 852.33 × 221.52
  4. Step 4: Simplify right side
    568.39x = 188,808.14
  5. Step 5: Solve for x
    x = 188,808.14/568.39
  6. Step 6: Final answer
    x = 332.18

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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.