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Finding the Fourth Proportional to 576.31, 863.97 and 210.82

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Solution

The fourth proportional to 576.31, 863.97 and 210.82 is: 316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.31 : 863.97 = 210.82 : x
  2. Step 2: Convert to fraction form
    576.31/863.97 = 210.82/x
  3. Step 3: Cross multiply
    576.31x = 863.97 × 210.82
  4. Step 4: Simplify right side
    576.31x = 182,142.16
  5. Step 5: Solve for x
    x = 182,142.16/576.31
  6. Step 6: Final answer
    x = 316.05

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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.