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Finding the Fourth Proportional to 378.99, 523.26 and 286.11

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Solution

The fourth proportional to 378.99, 523.26 and 286.11 is: 395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.99 : 523.26 = 286.11 : x
  2. Step 2: Convert to fraction form
    378.99/523.26 = 286.11/x
  3. Step 3: Cross multiply
    378.99x = 523.26 × 286.11
  4. Step 4: Simplify right side
    378.99x = 149,709.92
  5. Step 5: Solve for x
    x = 149,709.92/378.99
  6. Step 6: Final answer
    x = 395.02

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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.