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Finding the Fourth Proportional to 382.12, 571.64 and 331.32

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Solution

The fourth proportional to 382.12, 571.64 and 331.32 is: 495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.12 : 571.64 = 331.32 : x
  2. Step 2: Convert to fraction form
    382.12/571.64 = 331.32/x
  3. Step 3: Cross multiply
    382.12x = 571.64 × 331.32
  4. Step 4: Simplify right side
    382.12x = 189,395.76
  5. Step 5: Solve for x
    x = 189,395.76/382.12
  6. Step 6: Final answer
    x = 495.64

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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.