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Finding the Fourth Proportional to 379.57, 523.89 and 232.32

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Solution

The fourth proportional to 379.57, 523.89 and 232.32 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.57 : 523.89 = 232.32 : x
  2. Step 2: Convert to fraction form
    379.57/523.89 = 232.32/x
  3. Step 3: Cross multiply
    379.57x = 523.89 × 232.32
  4. Step 4: Simplify right side
    379.57x = 121,710.12
  5. Step 5: Solve for x
    x = 121,710.12/379.57
  6. Step 6: Final answer
    x = 320.66

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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.