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Finding the Fourth Proportional to 444, 665.27 and 270.14

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Solution

The fourth proportional to 444, 665.27 and 270.14 is: 404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    444 : 665.27 = 270.14 : x
  2. Step 2: Convert to fraction form
    444/665.27 = 270.14/x
  3. Step 3: Cross multiply
    444x = 665.27 × 270.14
  4. Step 4: Simplify right side
    444x = 179,718.38
  5. Step 5: Solve for x
    x = 179,718.38/444
  6. Step 6: Final answer
    x = 404.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.