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Finding the Fourth Proportional to 576.36, 864.66 and 211.16

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Solution

The fourth proportional to 576.36, 864.66 and 211.16 is: 316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.36 : 864.66 = 211.16 : x
  2. Step 2: Convert to fraction form
    576.36/864.66 = 211.16/x
  3. Step 3: Cross multiply
    576.36x = 864.66 × 211.16
  4. Step 4: Simplify right side
    576.36x = 182,577.28
  5. Step 5: Solve for x
    x = 182,577.28/576.36
  6. Step 6: Final answer
    x = 316.78

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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.