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Finding the Fourth Proportional to 329.57, 454.95 and 231.69

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Solution

The fourth proportional to 329.57, 454.95 and 231.69 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.57 : 454.95 = 231.69 : x
  2. Step 2: Convert to fraction form
    329.57/454.95 = 231.69/x
  3. Step 3: Cross multiply
    329.57x = 454.95 × 231.69
  4. Step 4: Simplify right side
    329.57x = 105,407.37
  5. Step 5: Solve for x
    x = 105,407.37/329.57
  6. Step 6: Final answer
    x = 319.83

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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.