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Finding the Fourth Proportional to 486.83, 671.82 and 287.66

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Solution

The fourth proportional to 486.83, 671.82 and 287.66 is: 396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.83 : 671.82 = 287.66 : x
  2. Step 2: Convert to fraction form
    486.83/671.82 = 287.66/x
  3. Step 3: Cross multiply
    486.83x = 671.82 × 287.66
  4. Step 4: Simplify right side
    486.83x = 193,252.38
  5. Step 5: Solve for x
    x = 193,252.38/486.83
  6. Step 6: Final answer
    x = 396.96

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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.