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Finding the Fourth Proportional to 576.13, 863.85 and 229.52

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Solution

The fourth proportional to 576.13, 863.85 and 229.52 is: 344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.13 : 863.85 = 229.52 : x
  2. Step 2: Convert to fraction form
    576.13/863.85 = 229.52/x
  3. Step 3: Cross multiply
    576.13x = 863.85 × 229.52
  4. Step 4: Simplify right side
    576.13x = 198,271.14
  5. Step 5: Solve for x
    x = 198,271.14/576.13
  6. Step 6: Final answer
    x = 344.14

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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.