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Finding the Fourth Proportional to 576.49, 864.81 and 229.86

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Solution

The fourth proportional to 576.49, 864.81 and 229.86 is: 344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.49 : 864.81 = 229.86 : x
  2. Step 2: Convert to fraction form
    576.49/864.81 = 229.86/x
  3. Step 3: Cross multiply
    576.49x = 864.81 × 229.86
  4. Step 4: Simplify right side
    576.49x = 198,780.90
  5. Step 5: Solve for x
    x = 198,780.90/576.49
  6. Step 6: Final answer
    x = 344.81

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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.