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Finding the Fourth Proportional to 464.92, 696.46 and 269.43

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Solution

The fourth proportional to 464.92, 696.46 and 269.43 is: 403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.92 : 696.46 = 269.43 : x
  2. Step 2: Convert to fraction form
    464.92/696.46 = 269.43/x
  3. Step 3: Cross multiply
    464.92x = 696.46 × 269.43
  4. Step 4: Simplify right side
    464.92x = 187,647.22
  5. Step 5: Solve for x
    x = 187,647.22/464.92
  6. Step 6: Final answer
    x = 403.61

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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.