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Finding the Fourth Proportional to 379.25, 523.27 and 290.83

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Solution

The fourth proportional to 379.25, 523.27 and 290.83 is: 401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.25 : 523.27 = 290.83 : x
  2. Step 2: Convert to fraction form
    379.25/523.27 = 290.83/x
  3. Step 3: Cross multiply
    379.25x = 523.27 × 290.83
  4. Step 4: Simplify right side
    379.25x = 152,182.61
  5. Step 5: Solve for x
    x = 152,182.61/379.25
  6. Step 6: Final answer
    x = 401.27

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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.