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Finding the Fourth Proportional to 444.26, 613.10 and 289.02

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Solution

The fourth proportional to 444.26, 613.10 and 289.02 is: 398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.26 : 613.10 = 289.02 : x
  2. Step 2: Convert to fraction form
    444.26/613.10 = 289.02/x
  3. Step 3: Cross multiply
    444.26x = 613.10 × 289.02
  4. Step 4: Simplify right side
    444.26x = 177,198.16
  5. Step 5: Solve for x
    x = 177,198.16/444.26
  6. Step 6: Final answer
    x = 398.86

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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.