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Finding the Fourth Proportional to 288.32, 397.82 and 205.38

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Solution

The fourth proportional to 288.32, 397.82 and 205.38 is: 283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.32 : 397.82 = 205.38 : x
  2. Step 2: Convert to fraction form
    288.32/397.82 = 205.38/x
  3. Step 3: Cross multiply
    288.32x = 397.82 × 205.38
  4. Step 4: Simplify right side
    288.32x = 81,704.27
  5. Step 5: Solve for x
    x = 81,704.27/288.32
  6. Step 6: Final answer
    x = 283.38

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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.