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Finding the Fourth Proportional to 443.92, 612.51 and 269.23

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Solution

The fourth proportional to 443.92, 612.51 and 269.23 is: 371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.92 : 612.51 = 269.23 : x
  2. Step 2: Convert to fraction form
    443.92/612.51 = 269.23/x
  3. Step 3: Cross multiply
    443.92x = 612.51 × 269.23
  4. Step 4: Simplify right side
    443.92x = 164,906.07
  5. Step 5: Solve for x
    x = 164,906.07/443.92
  6. Step 6: Final answer
    x = 371.48

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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.