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Finding the Fourth Proportional to 376.97, 520.22 and 219.64

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Solution

The fourth proportional to 376.97, 520.22 and 219.64 is: 303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.97 : 520.22 = 219.64 : x
  2. Step 2: Convert to fraction form
    376.97/520.22 = 219.64/x
  3. Step 3: Cross multiply
    376.97x = 520.22 × 219.64
  4. Step 4: Simplify right side
    376.97x = 114,261.12
  5. Step 5: Solve for x
    x = 114,261.12/376.97
  6. Step 6: Final answer
    x = 303.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.