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Finding the Fourth Proportional to 576.08, 863.42 and 411.30

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Solution

The fourth proportional to 576.08, 863.42 and 411.30 is: 616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.08 : 863.42 = 411.30 : x
  2. Step 2: Convert to fraction form
    576.08/863.42 = 411.30/x
  3. Step 3: Cross multiply
    576.08x = 863.42 × 411.30
  4. Step 4: Simplify right side
    576.08x = 355,124.65
  5. Step 5: Solve for x
    x = 355,124.65/576.08
  6. Step 6: Final answer
    x = 616.45

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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.