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Finding the Fourth Proportional to 356.27, 490.46 and 306.86

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Solution

The fourth proportional to 356.27, 490.46 and 306.86 is: 422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.27 : 490.46 = 306.86 : x
  2. Step 2: Convert to fraction form
    356.27/490.46 = 306.86/x
  3. Step 3: Cross multiply
    356.27x = 490.46 × 306.86
  4. Step 4: Simplify right side
    356.27x = 150,498.57
  5. Step 5: Solve for x
    x = 150,498.57/356.27
  6. Step 6: Final answer
    x = 422.43

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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.