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Finding the Fourth Proportional to 321.70, 443.80 and 211.13

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Solution

The fourth proportional to 321.70, 443.80 and 211.13 is: 291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.70 : 443.80 = 211.13 : x
  2. Step 2: Convert to fraction form
    321.70/443.80 = 211.13/x
  3. Step 3: Cross multiply
    321.70x = 443.80 × 211.13
  4. Step 4: Simplify right side
    321.70x = 93,699.49
  5. Step 5: Solve for x
    x = 93,699.49/321.70
  6. Step 6: Final answer
    x = 291.26

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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.