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Finding the Fourth Proportional to 576.21, 863.46 and 268.01

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Solution

The fourth proportional to 576.21, 863.46 and 268.01 is: 401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.21 : 863.46 = 268.01 : x
  2. Step 2: Convert to fraction form
    576.21/863.46 = 268.01/x
  3. Step 3: Cross multiply
    576.21x = 863.46 × 268.01
  4. Step 4: Simplify right side
    576.21x = 231,414.84
  5. Step 5: Solve for x
    x = 231,414.84/576.21
  6. Step 6: Final answer
    x = 401.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.