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Finding the Fourth Proportional to 417.62, 576.23 and 286.67

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Solution

The fourth proportional to 417.62, 576.23 and 286.67 is: 395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.62 : 576.23 = 286.67 : x
  2. Step 2: Convert to fraction form
    417.62/576.23 = 286.67/x
  3. Step 3: Cross multiply
    417.62x = 576.23 × 286.67
  4. Step 4: Simplify right side
    417.62x = 165,183.54
  5. Step 5: Solve for x
    x = 165,183.54/417.62
  6. Step 6: Final answer
    x = 395.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.