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Finding the Fourth Proportional to 321.84, 444.15 and 205.47

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Solution

The fourth proportional to 321.84, 444.15 and 205.47 is: 283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 444.15 = 205.47 : x
  2. Step 2: Convert to fraction form
    321.84/444.15 = 205.47/x
  3. Step 3: Cross multiply
    321.84x = 444.15 × 205.47
  4. Step 4: Simplify right side
    321.84x = 91,259.50
  5. Step 5: Solve for x
    x = 91,259.50/321.84
  6. Step 6: Final answer
    x = 283.56

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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.