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Finding the Fourth Proportional to 322.93, 445.21 and 212.36

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Solution

The fourth proportional to 322.93, 445.21 and 212.36 is: 292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.93 : 445.21 = 212.36 : x
  2. Step 2: Convert to fraction form
    322.93/445.21 = 212.36/x
  3. Step 3: Cross multiply
    322.93x = 445.21 × 212.36
  4. Step 4: Simplify right side
    322.93x = 94,544.80
  5. Step 5: Solve for x
    x = 94,544.80/322.93
  6. Step 6: Final answer
    x = 292.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.