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Finding the Fourth Proportional to 293.72, 405.44 and 210.80

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Solution

The fourth proportional to 293.72, 405.44 and 210.80 is: 290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 405.44 = 210.80 : x
  2. Step 2: Convert to fraction form
    293.72/405.44 = 210.80/x
  3. Step 3: Cross multiply
    293.72x = 405.44 × 210.80
  4. Step 4: Simplify right side
    293.72x = 85,463.67
  5. Step 5: Solve for x
    x = 85,463.67/293.72
  6. Step 6: Final answer
    x = 290.97

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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.