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Finding the Fourth Proportional to 376.82, 520 and 219.48

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Solution

The fourth proportional to 376.82, 520 and 219.48 is: 302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.82 : 520 = 219.48 : x
  2. Step 2: Convert to fraction form
    376.82/520 = 219.48/x
  3. Step 3: Cross multiply
    376.82x = 520 × 219.48
  4. Step 4: Simplify right side
    376.82x = 114,129.60
  5. Step 5: Solve for x
    x = 114,129.60/376.82
  6. Step 6: Final answer
    x = 302.88

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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.