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Finding the Fourth Proportional to 564.38, 846.54 and 217.64

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Solution

The fourth proportional to 564.38, 846.54 and 217.64 is: 326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 846.54 = 217.64 : x
  2. Step 2: Convert to fraction form
    564.38/846.54 = 217.64/x
  3. Step 3: Cross multiply
    564.38x = 846.54 × 217.64
  4. Step 4: Simplify right side
    564.38x = 184,240.97
  5. Step 5: Solve for x
    x = 184,240.97/564.38
  6. Step 6: Final answer
    x = 326.45

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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.