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Finding the Fourth Proportional to 293.67, 404.96 and 210.63

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Solution

The fourth proportional to 293.67, 404.96 and 210.63 is: 290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.67 : 404.96 = 210.63 : x
  2. Step 2: Convert to fraction form
    293.67/404.96 = 210.63/x
  3. Step 3: Cross multiply
    293.67x = 404.96 × 210.63
  4. Step 4: Simplify right side
    293.67x = 85,295.67
  5. Step 5: Solve for x
    x = 85,295.67/293.67
  6. Step 6: Final answer
    x = 290.45

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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.