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Finding the Fourth Proportional to 303.43, 418.24 and 205.01

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Solution

The fourth proportional to 303.43, 418.24 and 205.01 is: 282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.43 : 418.24 = 205.01 : x
  2. Step 2: Convert to fraction form
    303.43/418.24 = 205.01/x
  3. Step 3: Cross multiply
    303.43x = 418.24 × 205.01
  4. Step 4: Simplify right side
    303.43x = 85,743.38
  5. Step 5: Solve for x
    x = 85,743.38/303.43
  6. Step 6: Final answer
    x = 282.58

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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.