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Finding the Fourth Proportional to 467.73, 645.17 and 292.77

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Solution

The fourth proportional to 467.73, 645.17 and 292.77 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.73 : 645.17 = 292.77 : x
  2. Step 2: Convert to fraction form
    467.73/645.17 = 292.77/x
  3. Step 3: Cross multiply
    467.73x = 645.17 × 292.77
  4. Step 4: Simplify right side
    467.73x = 188,884.96
  5. Step 5: Solve for x
    x = 188,884.96/467.73
  6. Step 6: Final answer
    x = 403.83

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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.