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Finding the Fourth Proportional to 309.83, 426.83 and 216.41

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Solution

The fourth proportional to 309.83, 426.83 and 216.41 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.83 : 426.83 = 216.41 : x
  2. Step 2: Convert to fraction form
    309.83/426.83 = 216.41/x
  3. Step 3: Cross multiply
    309.83x = 426.83 × 216.41
  4. Step 4: Simplify right side
    309.83x = 92,370.28
  5. Step 5: Solve for x
    x = 92,370.28/309.83
  6. Step 6: Final answer
    x = 298.13

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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.