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Finding the Fourth Proportional to 576.60, 863.10 and 414.60

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Solution

The fourth proportional to 576.60, 863.10 and 414.60 is: 620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.60 : 863.10 = 414.60 : x
  2. Step 2: Convert to fraction form
    576.60/863.10 = 414.60/x
  3. Step 3: Cross multiply
    576.60x = 863.10 × 414.60
  4. Step 4: Simplify right side
    576.60x = 357,841.26
  5. Step 5: Solve for x
    x = 357,841.26/576.60
  6. Step 6: Final answer
    x = 620.61

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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.