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Finding the Fourth Proportional to 600.55, 828.84 and 379.56

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Solution

The fourth proportional to 600.55, 828.84 and 379.56 is: 523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.55 : 828.84 = 379.56 : x
  2. Step 2: Convert to fraction form
    600.55/828.84 = 379.56/x
  3. Step 3: Cross multiply
    600.55x = 828.84 × 379.56
  4. Step 4: Simplify right side
    600.55x = 314,590.37
  5. Step 5: Solve for x
    x = 314,590.37/600.55
  6. Step 6: Final answer
    x = 523.84

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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.