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Finding the Fourth Proportional to 293.91, 440.87 and 77.49

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Solution

The fourth proportional to 293.91, 440.87 and 77.49 is: 116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.91 : 440.87 = 77.49 : x
  2. Step 2: Convert to fraction form
    293.91/440.87 = 77.49/x
  3. Step 3: Cross multiply
    293.91x = 440.87 × 77.49
  4. Step 4: Simplify right side
    293.91x = 34,163.02
  5. Step 5: Solve for x
    x = 34,163.02/293.91
  6. Step 6: Final answer
    x = 116.24

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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.