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Finding the Fourth Proportional to 576.57, 864.70 and 229.78

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Solution

The fourth proportional to 576.57, 864.70 and 229.78 is: 344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.57 : 864.70 = 229.78 : x
  2. Step 2: Convert to fraction form
    576.57/864.70 = 229.78/x
  3. Step 3: Cross multiply
    576.57x = 864.70 × 229.78
  4. Step 4: Simplify right side
    576.57x = 198,690.77
  5. Step 5: Solve for x
    x = 198,690.77/576.57
  6. Step 6: Final answer
    x = 344.61

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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.