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Finding the Fourth Proportional to 381.44, 525.92 and 326.08

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Solution

The fourth proportional to 381.44, 525.92 and 326.08 is: 449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.44 : 525.92 = 326.08 : x
  2. Step 2: Convert to fraction form
    381.44/525.92 = 326.08/x
  3. Step 3: Cross multiply
    381.44x = 525.92 × 326.08
  4. Step 4: Simplify right side
    381.44x = 171,491.99
  5. Step 5: Solve for x
    x = 171,491.99/381.44
  6. Step 6: Final answer
    x = 449.59

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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.