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Finding the Fourth Proportional to 375.96, 519.03 and 323.58

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Solution

The fourth proportional to 375.96, 519.03 and 323.58 is: 446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.96 : 519.03 = 323.58 : x
  2. Step 2: Convert to fraction form
    375.96/519.03 = 323.58/x
  3. Step 3: Cross multiply
    375.96x = 519.03 × 323.58
  4. Step 4: Simplify right side
    375.96x = 167,947.73
  5. Step 5: Solve for x
    x = 167,947.73/375.96
  6. Step 6: Final answer
    x = 446.72

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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.