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Finding the Fourth Proportional to 331.84, 457.40 and 233.44

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Solution

The fourth proportional to 331.84, 457.40 and 233.44 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.84 : 457.40 = 233.44 : x
  2. Step 2: Convert to fraction form
    331.84/457.40 = 233.44/x
  3. Step 3: Cross multiply
    331.84x = 457.40 × 233.44
  4. Step 4: Simplify right side
    331.84x = 106,775.46
  5. Step 5: Solve for x
    x = 106,775.46/331.84
  6. Step 6: Final answer
    x = 321.77

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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.