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Finding the Fourth Proportional to 378.91, 523.19 and 246.19

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Solution

The fourth proportional to 378.91, 523.19 and 246.19 is: 339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.91 : 523.19 = 246.19 : x
  2. Step 2: Convert to fraction form
    378.91/523.19 = 246.19/x
  3. Step 3: Cross multiply
    378.91x = 523.19 × 246.19
  4. Step 4: Simplify right side
    378.91x = 128,805.91
  5. Step 5: Solve for x
    x = 128,805.91/378.91
  6. Step 6: Final answer
    x = 339.94

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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.