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Finding the Fourth Proportional to 564.28, 846.12 and 321.28

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Solution

The fourth proportional to 564.28, 846.12 and 321.28 is: 481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.28 : 846.12 = 321.28 : x
  2. Step 2: Convert to fraction form
    564.28/846.12 = 321.28/x
  3. Step 3: Cross multiply
    564.28x = 846.12 × 321.28
  4. Step 4: Simplify right side
    564.28x = 271,841.43
  5. Step 5: Solve for x
    x = 271,841.43/564.28
  6. Step 6: Final answer
    x = 481.75

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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.