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Finding the Fourth Proportional to 564.21, 846.32 and 320.85

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Solution

The fourth proportional to 564.21, 846.32 and 320.85 is: 481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.21 : 846.32 = 320.85 : x
  2. Step 2: Convert to fraction form
    564.21/846.32 = 320.85/x
  3. Step 3: Cross multiply
    564.21x = 846.32 × 320.85
  4. Step 4: Simplify right side
    564.21x = 271,540.17
  5. Step 5: Solve for x
    x = 271,540.17/564.21
  6. Step 6: Final answer
    x = 481.28

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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.