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Finding the Fourth Proportional to 321.94, 444.32 and 211.42

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Solution

The fourth proportional to 321.94, 444.32 and 211.42 is: 291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.94 : 444.32 = 211.42 : x
  2. Step 2: Convert to fraction form
    321.94/444.32 = 211.42/x
  3. Step 3: Cross multiply
    321.94x = 444.32 × 211.42
  4. Step 4: Simplify right side
    321.94x = 93,938.13
  5. Step 5: Solve for x
    x = 93,938.13/321.94
  6. Step 6: Final answer
    x = 291.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.