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Finding the Fourth Proportional to 321.84, 444.26 and 211.34

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Solution

The fourth proportional to 321.84, 444.26 and 211.34 is: 291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 444.26 = 211.34 : x
  2. Step 2: Convert to fraction form
    321.84/444.26 = 211.34/x
  3. Step 3: Cross multiply
    321.84x = 444.26 × 211.34
  4. Step 4: Simplify right side
    321.84x = 93,888.85
  5. Step 5: Solve for x
    x = 93,888.85/321.84
  6. Step 6: Final answer
    x = 291.73

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