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Finding the Fourth Proportional to 379.20, 523.16 and 281.12

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Solution

The fourth proportional to 379.20, 523.16 and 281.12 is: 387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.20 : 523.16 = 281.12 : x
  2. Step 2: Convert to fraction form
    379.20/523.16 = 281.12/x
  3. Step 3: Cross multiply
    379.20x = 523.16 × 281.12
  4. Step 4: Simplify right side
    379.20x = 147,070.74
  5. Step 5: Solve for x
    x = 147,070.74/379.20
  6. Step 6: Final answer
    x = 387.84

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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.