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Finding the Fourth Proportional to 306.29, 422.87 and 213.01

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Solution

The fourth proportional to 306.29, 422.87 and 213.01 is: 294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 422.87 = 213.01 : x
  2. Step 2: Convert to fraction form
    306.29/422.87 = 213.01/x
  3. Step 3: Cross multiply
    306.29x = 422.87 × 213.01
  4. Step 4: Simplify right side
    306.29x = 90,075.54
  5. Step 5: Solve for x
    x = 90,075.54/306.29
  6. Step 6: Final answer
    x = 294.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.