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Finding the Fourth Proportional to 309.71, 465.26 and 270.09

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Solution

The fourth proportional to 309.71, 465.26 and 270.09 is: 405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.71 : 465.26 = 270.09 : x
  2. Step 2: Convert to fraction form
    309.71/465.26 = 270.09/x
  3. Step 3: Cross multiply
    309.71x = 465.26 × 270.09
  4. Step 4: Simplify right side
    309.71x = 125,660.72
  5. Step 5: Solve for x
    x = 125,660.72/309.71
  6. Step 6: Final answer
    x = 405.73

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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.