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Finding the Fourth Proportional to 306.30, 421.46 and 299.01

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Solution

The fourth proportional to 306.30, 421.46 and 299.01 is: 411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.30 : 421.46 = 299.01 : x
  2. Step 2: Convert to fraction form
    306.30/421.46 = 299.01/x
  3. Step 3: Cross multiply
    306.30x = 421.46 × 299.01
  4. Step 4: Simplify right side
    306.30x = 126,020.75
  5. Step 5: Solve for x
    x = 126,020.75/306.30
  6. Step 6: Final answer
    x = 411.43

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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.