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Finding the Fourth Proportional to 291.96, 400.19 and 287.91

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Solution

The fourth proportional to 291.96, 400.19 and 287.91 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.96 : 400.19 = 287.91 : x
  2. Step 2: Convert to fraction form
    291.96/400.19 = 287.91/x
  3. Step 3: Cross multiply
    291.96x = 400.19 × 287.91
  4. Step 4: Simplify right side
    291.96x = 115,218.70
  5. Step 5: Solve for x
    x = 115,218.70/291.96
  6. Step 6: Final answer
    x = 394.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.