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Finding the Fourth Proportional to 564.33, 845.92 and 217.57

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Solution

The fourth proportional to 564.33, 845.92 and 217.57 is: 326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.33 : 845.92 = 217.57 : x
  2. Step 2: Convert to fraction form
    564.33/845.92 = 217.57/x
  3. Step 3: Cross multiply
    564.33x = 845.92 × 217.57
  4. Step 4: Simplify right side
    564.33x = 184,046.81
  5. Step 5: Solve for x
    x = 184,046.81/564.33
  6. Step 6: Final answer
    x = 326.13

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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.