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Finding the Fourth Proportional to 293.98, 404.82 and 210.94

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Solution

The fourth proportional to 293.98, 404.82 and 210.94 is: 290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.98 : 404.82 = 210.94 : x
  2. Step 2: Convert to fraction form
    293.98/404.82 = 210.94/x
  3. Step 3: Cross multiply
    293.98x = 404.82 × 210.94
  4. Step 4: Simplify right side
    293.98x = 85,392.73
  5. Step 5: Solve for x
    x = 85,392.73/293.98
  6. Step 6: Final answer
    x = 290.47

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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.