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Finding the Fourth Proportional to 285.74, 393.96 and 233.24

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Solution

The fourth proportional to 285.74, 393.96 and 233.24 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.74 : 393.96 = 233.24 : x
  2. Step 2: Convert to fraction form
    285.74/393.96 = 233.24/x
  3. Step 3: Cross multiply
    285.74x = 393.96 × 233.24
  4. Step 4: Simplify right side
    285.74x = 91,884.39
  5. Step 5: Solve for x
    x = 91,884.39/285.74
  6. Step 6: Final answer
    x = 321.56

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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.