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Finding the Fourth Proportional to 293.23, 439.85 and 76.80

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Solution

The fourth proportional to 293.23, 439.85 and 76.80 is: 115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.23 : 439.85 = 76.80 : x
  2. Step 2: Convert to fraction form
    293.23/439.85 = 76.80/x
  3. Step 3: Cross multiply
    293.23x = 439.85 × 76.80
  4. Step 4: Simplify right side
    293.23x = 33,780.48
  5. Step 5: Solve for x
    x = 33,780.48/293.23
  6. Step 6: Final answer
    x = 115.20

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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.