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Finding the Fourth Proportional to 323.06, 444.66 and 270

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Solution

The fourth proportional to 323.06, 444.66 and 270 is: 371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.06 : 444.66 = 270 : x
  2. Step 2: Convert to fraction form
    323.06/444.66 = 270/x
  3. Step 3: Cross multiply
    323.06x = 444.66 × 270
  4. Step 4: Simplify right side
    323.06x = 120,058.20
  5. Step 5: Solve for x
    x = 120,058.20/323.06
  6. Step 6: Final answer
    x = 371.63

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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.