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Finding the Fourth Proportional to 329.60, 454.44 and 231.19

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Solution

The fourth proportional to 329.60, 454.44 and 231.19 is: 318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.60 : 454.44 = 231.19 : x
  2. Step 2: Convert to fraction form
    329.60/454.44 = 231.19/x
  3. Step 3: Cross multiply
    329.60x = 454.44 × 231.19
  4. Step 4: Simplify right side
    329.60x = 105,061.71
  5. Step 5: Solve for x
    x = 105,061.71/329.60
  6. Step 6: Final answer
    x = 318.75

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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.