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Finding the Fourth Proportional to 411.06, 566.87 and 306.41

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Solution

The fourth proportional to 411.06, 566.87 and 306.41 is: 422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.06 : 566.87 = 306.41 : x
  2. Step 2: Convert to fraction form
    411.06/566.87 = 306.41/x
  3. Step 3: Cross multiply
    411.06x = 566.87 × 306.41
  4. Step 4: Simplify right side
    411.06x = 173,690.27
  5. Step 5: Solve for x
    x = 173,690.27/411.06
  6. Step 6: Final answer
    x = 422.54

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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.