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Finding the Fourth Proportional to 486.20, 671.29 and 381.71

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Solution

The fourth proportional to 486.20, 671.29 and 381.71 is: 527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.20 : 671.29 = 381.71 : x
  2. Step 2: Convert to fraction form
    486.20/671.29 = 381.71/x
  3. Step 3: Cross multiply
    486.20x = 671.29 × 381.71
  4. Step 4: Simplify right side
    486.20x = 256,238.83
  5. Step 5: Solve for x
    x = 256,238.83/486.20
  6. Step 6: Final answer
    x = 527.02

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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.