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Finding the Fourth Proportional to 321.21, 442.71 and 233.73

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Solution

The fourth proportional to 321.21, 442.71 and 233.73 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.21 : 442.71 = 233.73 : x
  2. Step 2: Convert to fraction form
    321.21/442.71 = 233.73/x
  3. Step 3: Cross multiply
    321.21x = 442.71 × 233.73
  4. Step 4: Simplify right side
    321.21x = 103,474.61
  5. Step 5: Solve for x
    x = 103,474.61/321.21
  6. Step 6: Final answer
    x = 322.14

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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.