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Finding the Fourth Proportional to 576.38, 864.94 and 229.66

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Solution

The fourth proportional to 576.38, 864.94 and 229.66 is: 344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.38 : 864.94 = 229.66 : x
  2. Step 2: Convert to fraction form
    576.38/864.94 = 229.66/x
  3. Step 3: Cross multiply
    576.38x = 864.94 × 229.66
  4. Step 4: Simplify right side
    576.38x = 198,642.12
  5. Step 5: Solve for x
    x = 198,642.12/576.38
  6. Step 6: Final answer
    x = 344.64

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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.