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Finding the Fourth Proportional to 325.60, 449.42 and 209.12

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Solution

The fourth proportional to 325.60, 449.42 and 209.12 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.60 : 449.42 = 209.12 : x
  2. Step 2: Convert to fraction form
    325.60/449.42 = 209.12/x
  3. Step 3: Cross multiply
    325.60x = 449.42 × 209.12
  4. Step 4: Simplify right side
    325.60x = 93,982.71
  5. Step 5: Solve for x
    x = 93,982.71/325.60
  6. Step 6: Final answer
    x = 288.64

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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.