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Finding the Fourth Proportional to 321.63, 443.92 and 211.07

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Solution

The fourth proportional to 321.63, 443.92 and 211.07 is: 291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.63 : 443.92 = 211.07 : x
  2. Step 2: Convert to fraction form
    321.63/443.92 = 211.07/x
  3. Step 3: Cross multiply
    321.63x = 443.92 × 211.07
  4. Step 4: Simplify right side
    321.63x = 93,698.19
  5. Step 5: Solve for x
    x = 93,698.19/321.63
  6. Step 6: Final answer
    x = 291.32

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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.