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Finding the Fourth Proportional to 307.05, 422.99 and 213.63

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Solution

The fourth proportional to 307.05, 422.99 and 213.63 is: 294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.05 : 422.99 = 213.63 : x
  2. Step 2: Convert to fraction form
    307.05/422.99 = 213.63/x
  3. Step 3: Cross multiply
    307.05x = 422.99 × 213.63
  4. Step 4: Simplify right side
    307.05x = 90,362.29
  5. Step 5: Solve for x
    x = 90,362.29/307.05
  6. Step 6: Final answer
    x = 294.29

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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.