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Finding the Fourth Proportional to 283.38, 390.92 and 233.97

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Solution

The fourth proportional to 283.38, 390.92 and 233.97 is: 322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.38 : 390.92 = 233.97 : x
  2. Step 2: Convert to fraction form
    283.38/390.92 = 233.97/x
  3. Step 3: Cross multiply
    283.38x = 390.92 × 233.97
  4. Step 4: Simplify right side
    283.38x = 91,462.38
  5. Step 5: Solve for x
    x = 91,462.38/283.38
  6. Step 6: Final answer
    x = 322.76

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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.