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Finding the Fourth Proportional to 538.14, 806.22 and 306.78

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Solution

The fourth proportional to 538.14, 806.22 and 306.78 is: 459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 806.22 = 306.78 : x
  2. Step 2: Convert to fraction form
    538.14/806.22 = 306.78/x
  3. Step 3: Cross multiply
    538.14x = 806.22 × 306.78
  4. Step 4: Simplify right side
    538.14x = 247,332.17
  5. Step 5: Solve for x
    x = 247,332.17/538.14
  6. Step 6: Final answer
    x = 459.61

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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.