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Finding the Fourth Proportional to 322.68, 445.41 and 212.46

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Solution

The fourth proportional to 322.68, 445.41 and 212.46 is: 293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.68 : 445.41 = 212.46 : x
  2. Step 2: Convert to fraction form
    322.68/445.41 = 212.46/x
  3. Step 3: Cross multiply
    322.68x = 445.41 × 212.46
  4. Step 4: Simplify right side
    322.68x = 94,631.81
  5. Step 5: Solve for x
    x = 94,631.81/322.68
  6. Step 6: Final answer
    x = 293.27

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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.