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Finding the Fourth Proportional to 306.96, 423.72 and 229.44

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Solution

The fourth proportional to 306.96, 423.72 and 229.44 is: 316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 423.72 = 229.44 : x
  2. Step 2: Convert to fraction form
    306.96/423.72 = 229.44/x
  3. Step 3: Cross multiply
    306.96x = 423.72 × 229.44
  4. Step 4: Simplify right side
    306.96x = 97,218.32
  5. Step 5: Solve for x
    x = 97,218.32/306.96
  6. Step 6: Final answer
    x = 316.71

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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.