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Finding the Fourth Proportional to 576.34, 864.70 and 211.14

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Solution

The fourth proportional to 576.34, 864.70 and 211.14 is: 316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.34 : 864.70 = 211.14 : x
  2. Step 2: Convert to fraction form
    576.34/864.70 = 211.14/x
  3. Step 3: Cross multiply
    576.34x = 864.70 × 211.14
  4. Step 4: Simplify right side
    576.34x = 182,572.76
  5. Step 5: Solve for x
    x = 182,572.76/576.34
  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.