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Finding the Fourth Proportional to 305.73, 422.52 and 231.93

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Solution

The fourth proportional to 305.73, 422.52 and 231.93 is: 320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.73 : 422.52 = 231.93 : x
  2. Step 2: Convert to fraction form
    305.73/422.52 = 231.93/x
  3. Step 3: Cross multiply
    305.73x = 422.52 × 231.93
  4. Step 4: Simplify right side
    305.73x = 97,995.06
  5. Step 5: Solve for x
    x = 97,995.06/305.73
  6. Step 6: Final answer
    x = 320.53

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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.