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Finding the Fourth Proportional to 379.88, 523.63 and 300.84

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Solution

The fourth proportional to 379.88, 523.63 and 300.84 is: 414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.88 : 523.63 = 300.84 : x
  2. Step 2: Convert to fraction form
    379.88/523.63 = 300.84/x
  3. Step 3: Cross multiply
    379.88x = 523.63 × 300.84
  4. Step 4: Simplify right side
    379.88x = 157,528.85
  5. Step 5: Solve for x
    x = 157,528.85/379.88
  6. Step 6: Final answer
    x = 414.68

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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.