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Finding the Fourth Proportional to 444.13, 613.00 and 269.44

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Solution

The fourth proportional to 444.13, 613.00 and 269.44 is: 371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.13 : 613.00 = 269.44 : x
  2. Step 2: Convert to fraction form
    444.13/613.00 = 269.44/x
  3. Step 3: Cross multiply
    444.13x = 613.00 × 269.44
  4. Step 4: Simplify right side
    444.13x = 165,165.52
  5. Step 5: Solve for x
    x = 165,165.52/444.13
  6. Step 6: Final answer
    x = 371.89

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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.