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Finding the Fourth Proportional to 378.99, 523.02 and 239.05

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Solution

The fourth proportional to 378.99, 523.02 and 239.05 is: 329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.99 : 523.02 = 239.05 : x
  2. Step 2: Convert to fraction form
    378.99/523.02 = 239.05/x
  3. Step 3: Cross multiply
    378.99x = 523.02 × 239.05
  4. Step 4: Simplify right side
    378.99x = 125,027.93
  5. Step 5: Solve for x
    x = 125,027.93/378.99
  6. Step 6: Final answer
    x = 329.90

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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.