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Finding the Fourth Proportional to 564.27, 845.90 and 217.84

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Solution

The fourth proportional to 564.27, 845.90 and 217.84 is: 326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.27 : 845.90 = 217.84 : x
  2. Step 2: Convert to fraction form
    564.27/845.90 = 217.84/x
  3. Step 3: Cross multiply
    564.27x = 845.90 × 217.84
  4. Step 4: Simplify right side
    564.27x = 184,266.84
  5. Step 5: Solve for x
    x = 184,266.84/564.27
  6. Step 6: Final answer
    x = 326.56

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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.