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Finding the Fourth Proportional to 564.38, 845.91 and 217.54

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Solution

The fourth proportional to 564.38, 845.91 and 217.54 is: 326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 845.91 = 217.54 : x
  2. Step 2: Convert to fraction form
    564.38/845.91 = 217.54/x
  3. Step 3: Cross multiply
    564.38x = 845.91 × 217.54
  4. Step 4: Simplify right side
    564.38x = 184,016.90
  5. Step 5: Solve for x
    x = 184,016.90/564.38
  6. Step 6: Final answer
    x = 326.05

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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.