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Finding the Fourth Proportional to 431.03, 593.97 and 306.48

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Solution

The fourth proportional to 431.03, 593.97 and 306.48 is: 422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.03 : 593.97 = 306.48 : x
  2. Step 2: Convert to fraction form
    431.03/593.97 = 306.48/x
  3. Step 3: Cross multiply
    431.03x = 593.97 × 306.48
  4. Step 4: Simplify right side
    431.03x = 182,036.96
  5. Step 5: Solve for x
    x = 182,036.96/431.03
  6. Step 6: Final answer
    x = 422.33

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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.