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Finding the Fourth Proportional to 538.05, 806.27 and 306.80

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Solution

The fourth proportional to 538.05, 806.27 and 306.80 is: 459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.05 : 806.27 = 306.80 : x
  2. Step 2: Convert to fraction form
    538.05/806.27 = 306.80/x
  3. Step 3: Cross multiply
    538.05x = 806.27 × 306.80
  4. Step 4: Simplify right side
    538.05x = 247,358.07
  5. Step 5: Solve for x
    x = 247,358.07/538.05
  6. Step 6: Final answer
    x = 459.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.