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Finding the Fourth Proportional to 293.26, 439.92 and 76.84

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Solution

The fourth proportional to 293.26, 439.92 and 76.84 is: 115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.26 : 439.92 = 76.84 : x
  2. Step 2: Convert to fraction form
    293.26/439.92 = 76.84/x
  3. Step 3: Cross multiply
    293.26x = 439.92 × 76.84
  4. Step 4: Simplify right side
    293.26x = 33,803.45
  5. Step 5: Solve for x
    x = 33,803.45/293.26
  6. Step 6: Final answer
    x = 115.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.