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Finding the Fourth Proportional to 321.08, 442.94 and 233.72

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Solution

The fourth proportional to 321.08, 442.94 and 233.72 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.08 : 442.94 = 233.72 : x
  2. Step 2: Convert to fraction form
    321.08/442.94 = 233.72/x
  3. Step 3: Cross multiply
    321.08x = 442.94 × 233.72
  4. Step 4: Simplify right side
    321.08x = 103,523.94
  5. Step 5: Solve for x
    x = 103,523.94/321.08
  6. Step 6: Final answer
    x = 322.42

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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.