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Finding the Fourth Proportional to 444.40, 613.14 and 269.80

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Solution

The fourth proportional to 444.40, 613.14 and 269.80 is: 372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.40 : 613.14 = 269.80 : x
  2. Step 2: Convert to fraction form
    444.40/613.14 = 269.80/x
  3. Step 3: Cross multiply
    444.40x = 613.14 × 269.80
  4. Step 4: Simplify right side
    444.40x = 165,425.17
  5. Step 5: Solve for x
    x = 165,425.17/444.40
  6. Step 6: Final answer
    x = 372.24

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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.