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Finding the Fourth Proportional to 377.80, 521.38 and 327.63

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Solution

The fourth proportional to 377.80, 521.38 and 327.63 is: 452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.80 : 521.38 = 327.63 : x
  2. Step 2: Convert to fraction form
    377.80/521.38 = 327.63/x
  3. Step 3: Cross multiply
    377.80x = 521.38 × 327.63
  4. Step 4: Simplify right side
    377.80x = 170,819.73
  5. Step 5: Solve for x
    x = 170,819.73/377.80
  6. Step 6: Final answer
    x = 452.14

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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.