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Finding the Fourth Proportional to 379.46, 522.34 and 327.18

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Solution

The fourth proportional to 379.46, 522.34 and 327.18 is: 450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.46 : 522.34 = 327.18 : x
  2. Step 2: Convert to fraction form
    379.46/522.34 = 327.18/x
  3. Step 3: Cross multiply
    379.46x = 522.34 × 327.18
  4. Step 4: Simplify right side
    379.46x = 170,899.61
  5. Step 5: Solve for x
    x = 170,899.61/379.46
  6. Step 6: Final answer
    x = 450.37

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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.