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Finding the Fourth Proportional to 303.52, 418.92 and 205.44

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Solution

The fourth proportional to 303.52, 418.92 and 205.44 is: 283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.52 : 418.92 = 205.44 : x
  2. Step 2: Convert to fraction form
    303.52/418.92 = 205.44/x
  3. Step 3: Cross multiply
    303.52x = 418.92 × 205.44
  4. Step 4: Simplify right side
    303.52x = 86,062.92
  5. Step 5: Solve for x
    x = 86,062.92/303.52
  6. Step 6: Final answer
    x = 283.55

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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.