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Finding the Fourth Proportional to 486.89, 671.99 and 287.71

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Solution

The fourth proportional to 486.89, 671.99 and 287.71 is: 397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.89 : 671.99 = 287.71 : x
  2. Step 2: Convert to fraction form
    486.89/671.99 = 287.71/x
  3. Step 3: Cross multiply
    486.89x = 671.99 × 287.71
  4. Step 4: Simplify right side
    486.89x = 193,337.28
  5. Step 5: Solve for x
    x = 193,337.28/486.89
  6. Step 6: Final answer
    x = 397.09

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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.