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Finding the Fourth Proportional to 576.85, 864.13 and 345.09

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Solution

The fourth proportional to 576.85, 864.13 and 345.09 is: 516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.85 : 864.13 = 345.09 : x
  2. Step 2: Convert to fraction form
    576.85/864.13 = 345.09/x
  3. Step 3: Cross multiply
    576.85x = 864.13 × 345.09
  4. Step 4: Simplify right side
    576.85x = 298,202.62
  5. Step 5: Solve for x
    x = 298,202.62/576.85
  6. Step 6: Final answer
    x = 516.95

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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.