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Finding the Fourth Proportional to 293.12, 401.92 and 276.74

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Solution

The fourth proportional to 293.12, 401.92 and 276.74 is: 379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.12 : 401.92 = 276.74 : x
  2. Step 2: Convert to fraction form
    293.12/401.92 = 276.74/x
  3. Step 3: Cross multiply
    293.12x = 401.92 × 276.74
  4. Step 4: Simplify right side
    293.12x = 111,227.34
  5. Step 5: Solve for x
    x = 111,227.34/293.12
  6. Step 6: Final answer
    x = 379.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.