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Finding the Fourth Proportional to 319.99, 480.67 and 229.27

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Solution

The fourth proportional to 319.99, 480.67 and 229.27 is: 344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.99 : 480.67 = 229.27 : x
  2. Step 2: Convert to fraction form
    319.99/480.67 = 229.27/x
  3. Step 3: Cross multiply
    319.99x = 480.67 × 229.27
  4. Step 4: Simplify right side
    319.99x = 110,203.21
  5. Step 5: Solve for x
    x = 110,203.21/319.99
  6. Step 6: Final answer
    x = 344.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.