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Finding the Fourth Proportional to 322.83, 445.26 and 212.12

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Solution

The fourth proportional to 322.83, 445.26 and 212.12 is: 292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.83 : 445.26 = 212.12 : x
  2. Step 2: Convert to fraction form
    322.83/445.26 = 212.12/x
  3. Step 3: Cross multiply
    322.83x = 445.26 × 212.12
  4. Step 4: Simplify right side
    322.83x = 94,448.55
  5. Step 5: Solve for x
    x = 94,448.55/322.83
  6. Step 6: Final answer
    x = 292.56

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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.