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Finding the Fourth Proportional to 306.77, 422.82 and 299.07

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Solution

The fourth proportional to 306.77, 422.82 and 299.07 is: 412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.77 : 422.82 = 299.07 : x
  2. Step 2: Convert to fraction form
    306.77/422.82 = 299.07/x
  3. Step 3: Cross multiply
    306.77x = 422.82 × 299.07
  4. Step 4: Simplify right side
    306.77x = 126,452.78
  5. Step 5: Solve for x
    x = 126,452.78/306.77
  6. Step 6: Final answer
    x = 412.21

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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.