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Finding the Fourth Proportional to 444.07, 612.80 and 269.41

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Solution

The fourth proportional to 444.07, 612.80 and 269.41 is: 371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.07 : 612.80 = 269.41 : x
  2. Step 2: Convert to fraction form
    444.07/612.80 = 269.41/x
  3. Step 3: Cross multiply
    444.07x = 612.80 × 269.41
  4. Step 4: Simplify right side
    444.07x = 165,094.45
  5. Step 5: Solve for x
    x = 165,094.45/444.07
  6. Step 6: Final answer
    x = 371.78

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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.