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Finding the Fourth Proportional to 321.85, 444.13 and 209.85

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Solution

The fourth proportional to 321.85, 444.13 and 209.85 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.85 : 444.13 = 209.85 : x
  2. Step 2: Convert to fraction form
    321.85/444.13 = 209.85/x
  3. Step 3: Cross multiply
    321.85x = 444.13 × 209.85
  4. Step 4: Simplify right side
    321.85x = 93,200.68
  5. Step 5: Solve for x
    x = 93,200.68/321.85
  6. Step 6: Final answer
    x = 289.58

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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.