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Finding the Fourth Proportional to 486.38, 671.22 and 289.96

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Solution

The fourth proportional to 486.38, 671.22 and 289.96 is: 400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.38 : 671.22 = 289.96 : x
  2. Step 2: Convert to fraction form
    486.38/671.22 = 289.96/x
  3. Step 3: Cross multiply
    486.38x = 671.22 × 289.96
  4. Step 4: Simplify right side
    486.38x = 194,625.27
  5. Step 5: Solve for x
    x = 194,625.27/486.38
  6. Step 6: Final answer
    x = 400.15

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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.