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Finding the Fourth Proportional to 443.74, 612.41 and 269.08

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Solution

The fourth proportional to 443.74, 612.41 and 269.08 is: 371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.74 : 612.41 = 269.08 : x
  2. Step 2: Convert to fraction form
    443.74/612.41 = 269.08/x
  3. Step 3: Cross multiply
    443.74x = 612.41 × 269.08
  4. Step 4: Simplify right side
    443.74x = 164,787.28
  5. Step 5: Solve for x
    x = 164,787.28/443.74
  6. Step 6: Final answer
    x = 371.36

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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.