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Finding the Fourth Proportional to 378.93, 523.06 and 231.61

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Solution

The fourth proportional to 378.93, 523.06 and 231.61 is: 319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.93 : 523.06 = 231.61 : x
  2. Step 2: Convert to fraction form
    378.93/523.06 = 231.61/x
  3. Step 3: Cross multiply
    378.93x = 523.06 × 231.61
  4. Step 4: Simplify right side
    378.93x = 121,145.02
  5. Step 5: Solve for x
    x = 121,145.02/378.93
  6. Step 6: Final answer
    x = 319.70

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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.