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Finding the Fourth Proportional to 331.50, 457.32 and 233.40

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Solution

The fourth proportional to 331.50, 457.32 and 233.40 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.50 : 457.32 = 233.40 : x
  2. Step 2: Convert to fraction form
    331.50/457.32 = 233.40/x
  3. Step 3: Cross multiply
    331.50x = 457.32 × 233.40
  4. Step 4: Simplify right side
    331.50x = 106,738.49
  5. Step 5: Solve for x
    x = 106,738.49/331.50
  6. Step 6: Final answer
    x = 321.99

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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.