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Finding the Fourth Proportional to 322, 444.60 and 252.34

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Solution

The fourth proportional to 322, 444.60 and 252.34 is: 348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322 : 444.60 = 252.34 : x
  2. Step 2: Convert to fraction form
    322/444.60 = 252.34/x
  3. Step 3: Cross multiply
    322x = 444.60 × 252.34
  4. Step 4: Simplify right side
    322x = 112,190.36
  5. Step 5: Solve for x
    x = 112,190.36/322
  6. Step 6: Final answer
    x = 348.42

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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.