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Finding the Fourth Proportional to 325.91, 490.64 and 298.64

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Solution

The fourth proportional to 325.91, 490.64 and 298.64 is: 449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.91 : 490.64 = 298.64 : x
  2. Step 2: Convert to fraction form
    325.91/490.64 = 298.64/x
  3. Step 3: Cross multiply
    325.91x = 490.64 × 298.64
  4. Step 4: Simplify right side
    325.91x = 146,524.46
  5. Step 5: Solve for x
    x = 146,524.46/325.91
  6. Step 6: Final answer
    x = 449.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.