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Finding the Fourth Proportional to 576.15, 863.14 and 286.89

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Solution

The fourth proportional to 576.15, 863.14 and 286.89 is: 429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.15 : 863.14 = 286.89 : x
  2. Step 2: Convert to fraction form
    576.15/863.14 = 286.89/x
  3. Step 3: Cross multiply
    576.15x = 863.14 × 286.89
  4. Step 4: Simplify right side
    576.15x = 247,620.48
  5. Step 5: Solve for x
    x = 247,620.48/576.15
  6. Step 6: Final answer
    x = 429.79

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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.