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Finding the Fourth Proportional to 381.06, 524.92 and 331.84

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Solution

The fourth proportional to 381.06, 524.92 and 331.84 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.06 : 524.92 = 331.84 : x
  2. Step 2: Convert to fraction form
    381.06/524.92 = 331.84/x
  3. Step 3: Cross multiply
    381.06x = 524.92 × 331.84
  4. Step 4: Simplify right side
    381.06x = 174,189.45
  5. Step 5: Solve for x
    x = 174,189.45/381.06
  6. Step 6: Final answer
    x = 457.12

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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.