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Finding the Fourth Proportional to 293.88, 439.56 and 211.80

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Solution

The fourth proportional to 293.88, 439.56 and 211.80 is: 316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.88 : 439.56 = 211.80 : x
  2. Step 2: Convert to fraction form
    293.88/439.56 = 211.80/x
  3. Step 3: Cross multiply
    293.88x = 439.56 × 211.80
  4. Step 4: Simplify right side
    293.88x = 93,098.81
  5. Step 5: Solve for x
    x = 93,098.81/293.88
  6. Step 6: Final answer
    x = 316.79

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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.