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Finding the Fourth Proportional to 576.01, 863.79 and 200.67

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Solution

The fourth proportional to 576.01, 863.79 and 200.67 is: 300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.01 : 863.79 = 200.67 : x
  2. Step 2: Convert to fraction form
    576.01/863.79 = 200.67/x
  3. Step 3: Cross multiply
    576.01x = 863.79 × 200.67
  4. Step 4: Simplify right side
    576.01x = 173,336.74
  5. Step 5: Solve for x
    x = 173,336.74/576.01
  6. Step 6: Final answer
    x = 300.93

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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.