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Finding the Fourth Proportional to 377.05, 519.40 and 327.84

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Solution

The fourth proportional to 377.05, 519.40 and 327.84 is: 451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.05 : 519.40 = 327.84 : x
  2. Step 2: Convert to fraction form
    377.05/519.40 = 327.84/x
  3. Step 3: Cross multiply
    377.05x = 519.40 × 327.84
  4. Step 4: Simplify right side
    377.05x = 170,282.45
  5. Step 5: Solve for x
    x = 170,282.45/377.05
  6. Step 6: Final answer
    x = 451.62

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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.