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Finding the Fourth Proportional to 486.92, 671.96 and 290.44

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Solution

The fourth proportional to 486.92, 671.96 and 290.44 is: 400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.92 : 671.96 = 290.44 : x
  2. Step 2: Convert to fraction form
    486.92/671.96 = 290.44/x
  3. Step 3: Cross multiply
    486.92x = 671.96 × 290.44
  4. Step 4: Simplify right side
    486.92x = 195,164.06
  5. Step 5: Solve for x
    x = 195,164.06/486.92
  6. Step 6: Final answer
    x = 400.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.