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Finding the Fourth Proportional to 275.12, 379.44 and 233.81

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Solution

The fourth proportional to 275.12, 379.44 and 233.81 is: 322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.12 : 379.44 = 233.81 : x
  2. Step 2: Convert to fraction form
    275.12/379.44 = 233.81/x
  3. Step 3: Cross multiply
    275.12x = 379.44 × 233.81
  4. Step 4: Simplify right side
    275.12x = 88,714.97
  5. Step 5: Solve for x
    x = 88,714.97/275.12
  6. Step 6: Final answer
    x = 322.47

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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.