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Finding the Fourth Proportional to 325.23, 449.19 and 298.91

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Solution

The fourth proportional to 325.23, 449.19 and 298.91 is: 412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.23 : 449.19 = 298.91 : x
  2. Step 2: Convert to fraction form
    325.23/449.19 = 298.91/x
  3. Step 3: Cross multiply
    325.23x = 449.19 × 298.91
  4. Step 4: Simplify right side
    325.23x = 134,265.14
  5. Step 5: Solve for x
    x = 134,265.14/325.23
  6. Step 6: Final answer
    x = 412.83

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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.