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Finding the Fourth Proportional to 321.90, 443.93 and 211.43

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Solution

The fourth proportional to 321.90, 443.93 and 211.43 is: 291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.90 : 443.93 = 211.43 : x
  2. Step 2: Convert to fraction form
    321.90/443.93 = 211.43/x
  3. Step 3: Cross multiply
    321.90x = 443.93 × 211.43
  4. Step 4: Simplify right side
    321.90x = 93,860.17
  5. Step 5: Solve for x
    x = 93,860.17/321.90
  6. Step 6: Final answer
    x = 291.58

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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.