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Finding the Fourth Proportional to 576.09, 864.47 and 229.46

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Solution

The fourth proportional to 576.09, 864.47 and 229.46 is: 344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.09 : 864.47 = 229.46 : x
  2. Step 2: Convert to fraction form
    576.09/864.47 = 229.46/x
  3. Step 3: Cross multiply
    576.09x = 864.47 × 229.46
  4. Step 4: Simplify right side
    576.09x = 198,357.54
  5. Step 5: Solve for x
    x = 198,357.54/576.09
  6. Step 6: Final answer
    x = 344.32

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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.