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Finding the Fourth Proportional to 564.71, 846.56 and 217.83

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Solution

The fourth proportional to 564.71, 846.56 and 217.83 is: 326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.71 : 846.56 = 217.83 : x
  2. Step 2: Convert to fraction form
    564.71/846.56 = 217.83/x
  3. Step 3: Cross multiply
    564.71x = 846.56 × 217.83
  4. Step 4: Simplify right side
    564.71x = 184,400.84
  5. Step 5: Solve for x
    x = 184,400.84/564.71
  6. Step 6: Final answer
    x = 326.54

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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.