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Finding the Fourth Proportional to 825.41, 1,238.24 and 298.28

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Solution

The fourth proportional to 825.41, 1,238.24 and 298.28 is: 447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.41 : 1,238.24 = 298.28 : x
  2. Step 2: Convert to fraction form
    825.41/1,238.24 = 298.28/x
  3. Step 3: Cross multiply
    825.41x = 1,238.24 × 298.28
  4. Step 4: Simplify right side
    825.41x = 369,339.19
  5. Step 5: Solve for x
    x = 369,339.19/825.41
  6. Step 6: Final answer
    x = 447.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.