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Finding the Fourth Proportional to 381.46, 524.96 and 353.92

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Solution

The fourth proportional to 381.46, 524.96 and 353.92 is: 487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.46 : 524.96 = 353.92 : x
  2. Step 2: Convert to fraction form
    381.46/524.96 = 353.92/x
  3. Step 3: Cross multiply
    381.46x = 524.96 × 353.92
  4. Step 4: Simplify right side
    381.46x = 185,793.84
  5. Step 5: Solve for x
    x = 185,793.84/381.46
  6. Step 6: Final answer
    x = 487.06

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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.