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Finding the Fourth Proportional to 331.56, 457.75 and 233.42

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Solution

The fourth proportional to 331.56, 457.75 and 233.42 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.56 : 457.75 = 233.42 : x
  2. Step 2: Convert to fraction form
    331.56/457.75 = 233.42/x
  3. Step 3: Cross multiply
    331.56x = 457.75 × 233.42
  4. Step 4: Simplify right side
    331.56x = 106,846.01
  5. Step 5: Solve for x
    x = 106,846.01/331.56
  6. Step 6: Final answer
    x = 322.25

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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.