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Finding the Fourth Proportional to 576.28, 863.23 and 282.90

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Solution

The fourth proportional to 576.28, 863.23 and 282.90 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.28 : 863.23 = 282.90 : x
  2. Step 2: Convert to fraction form
    576.28/863.23 = 282.90/x
  3. Step 3: Cross multiply
    576.28x = 863.23 × 282.90
  4. Step 4: Simplify right side
    576.28x = 244,207.77
  5. Step 5: Solve for x
    x = 244,207.77/576.28
  6. Step 6: Final answer
    x = 423.77

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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.