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Finding the Fourth Proportional to 306.36, 462.09 and 274.68

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Solution

The fourth proportional to 306.36, 462.09 and 274.68 is: 414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.36 : 462.09 = 274.68 : x
  2. Step 2: Convert to fraction form
    306.36/462.09 = 274.68/x
  3. Step 3: Cross multiply
    306.36x = 462.09 × 274.68
  4. Step 4: Simplify right side
    306.36x = 126,926.88
  5. Step 5: Solve for x
    x = 126,926.88/306.36
  6. Step 6: Final answer
    x = 414.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.