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Finding the Fourth Proportional to 325.45, 447.81 and 318.16

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Solution

The fourth proportional to 325.45, 447.81 and 318.16 is: 437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.45 : 447.81 = 318.16 : x
  2. Step 2: Convert to fraction form
    325.45/447.81 = 318.16/x
  3. Step 3: Cross multiply
    325.45x = 447.81 × 318.16
  4. Step 4: Simplify right side
    325.45x = 142,475.23
  5. Step 5: Solve for x
    x = 142,475.23/325.45
  6. Step 6: Final answer
    x = 437.78

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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.