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Finding the Fourth Proportional to 379.59, 523.87 and 232.37

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Solution

The fourth proportional to 379.59, 523.87 and 232.37 is: 320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.59 : 523.87 = 232.37 : x
  2. Step 2: Convert to fraction form
    379.59/523.87 = 232.37/x
  3. Step 3: Cross multiply
    379.59x = 523.87 × 232.37
  4. Step 4: Simplify right side
    379.59x = 121,730.51
  5. Step 5: Solve for x
    x = 121,730.51/379.59
  6. Step 6: Final answer
    x = 320.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.