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Finding the Fourth Proportional to 576.05, 864.18 and 267.71

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Solution

The fourth proportional to 576.05, 864.18 and 267.71 is: 401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.05 : 864.18 = 267.71 : x
  2. Step 2: Convert to fraction form
    576.05/864.18 = 267.71/x
  3. Step 3: Cross multiply
    576.05x = 864.18 × 267.71
  4. Step 4: Simplify right side
    576.05x = 231,345.31
  5. Step 5: Solve for x
    x = 231,345.31/576.05
  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.