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Finding the Fourth Proportional to 379.35, 523.19 and 335.13

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Solution

The fourth proportional to 379.35, 523.19 and 335.13 is: 462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.35 : 523.19 = 335.13 : x
  2. Step 2: Convert to fraction form
    379.35/523.19 = 335.13/x
  3. Step 3: Cross multiply
    379.35x = 523.19 × 335.13
  4. Step 4: Simplify right side
    379.35x = 175,334.99
  5. Step 5: Solve for x
    x = 175,334.99/379.35
  6. Step 6: Final answer
    x = 462.20

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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.