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Finding the Fourth Proportional to 382.14, 571.68 and 331.34

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Solution

The fourth proportional to 382.14, 571.68 and 331.34 is: 495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 571.68 = 331.34 : x
  2. Step 2: Convert to fraction form
    382.14/571.68 = 331.34/x
  3. Step 3: Cross multiply
    382.14x = 571.68 × 331.34
  4. Step 4: Simplify right side
    382.14x = 189,420.45
  5. Step 5: Solve for x
    x = 189,420.45/382.14
  6. Step 6: Final answer
    x = 495.68

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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.