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Finding the Fourth Proportional to 389.33, 537.42 and 296.09

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Solution

The fourth proportional to 389.33, 537.42 and 296.09 is: 408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.33 : 537.42 = 296.09 : x
  2. Step 2: Convert to fraction form
    389.33/537.42 = 296.09/x
  3. Step 3: Cross multiply
    389.33x = 537.42 × 296.09
  4. Step 4: Simplify right side
    389.33x = 159,122.00
  5. Step 5: Solve for x
    x = 159,122.00/389.33
  6. Step 6: Final answer
    x = 408.71

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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.