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Finding the Fourth Proportional to 576.56, 864.32 and 211.07

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Solution

The fourth proportional to 576.56, 864.32 and 211.07 is: 316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.56 : 864.32 = 211.07 : x
  2. Step 2: Convert to fraction form
    576.56/864.32 = 211.07/x
  3. Step 3: Cross multiply
    576.56x = 864.32 × 211.07
  4. Step 4: Simplify right side
    576.56x = 182,433.13
  5. Step 5: Solve for x
    x = 182,433.13/576.56
  6. Step 6: Final answer
    x = 316.42

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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.