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Finding the Fourth Proportional to 290.86, 401.97 and 232.54

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Solution

The fourth proportional to 290.86, 401.97 and 232.54 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.86 : 401.97 = 232.54 : x
  2. Step 2: Convert to fraction form
    290.86/401.97 = 232.54/x
  3. Step 3: Cross multiply
    290.86x = 401.97 × 232.54
  4. Step 4: Simplify right side
    290.86x = 93,474.10
  5. Step 5: Solve for x
    x = 93,474.10/290.86
  6. Step 6: Final answer
    x = 321.37

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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.