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Finding the Fourth Proportional to 378.72, 522.52 and 231.08

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Solution

The fourth proportional to 378.72, 522.52 and 231.08 is: 318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.72 : 522.52 = 231.08 : x
  2. Step 2: Convert to fraction form
    378.72/522.52 = 231.08/x
  3. Step 3: Cross multiply
    378.72x = 522.52 × 231.08
  4. Step 4: Simplify right side
    378.72x = 120,743.92
  5. Step 5: Solve for x
    x = 120,743.92/378.72
  6. Step 6: Final answer
    x = 318.82

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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.