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Finding the Fourth Proportional to 325.98, 447.18 and 298.65

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Solution

The fourth proportional to 325.98, 447.18 and 298.65 is: 409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.98 : 447.18 = 298.65 : x
  2. Step 2: Convert to fraction form
    325.98/447.18 = 298.65/x
  3. Step 3: Cross multiply
    325.98x = 447.18 × 298.65
  4. Step 4: Simplify right side
    325.98x = 133,550.31
  5. Step 5: Solve for x
    x = 133,550.31/325.98
  6. Step 6: Final answer
    x = 409.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.