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Finding the Fourth Proportional to 376.28, 564.42 and 213.63

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Solution

The fourth proportional to 376.28, 564.42 and 213.63 is: 320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.28 : 564.42 = 213.63 : x
  2. Step 2: Convert to fraction form
    376.28/564.42 = 213.63/x
  3. Step 3: Cross multiply
    376.28x = 564.42 × 213.63
  4. Step 4: Simplify right side
    376.28x = 120,577.04
  5. Step 5: Solve for x
    x = 120,577.04/376.28
  6. Step 6: Final answer
    x = 320.45

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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.