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Finding the Fourth Proportional to 364.40, 502.81 and 206.97

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Solution

The fourth proportional to 364.40, 502.81 and 206.97 is: 285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.40 : 502.81 = 206.97 : x
  2. Step 2: Convert to fraction form
    364.40/502.81 = 206.97/x
  3. Step 3: Cross multiply
    364.40x = 502.81 × 206.97
  4. Step 4: Simplify right side
    364.40x = 104,067.01
  5. Step 5: Solve for x
    x = 104,067.01/364.40
  6. Step 6: Final answer
    x = 285.59

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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.