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Finding the Fourth Proportional to 600.55, 828.89 and 379.46

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Solution

The fourth proportional to 600.55, 828.89 and 379.46 is: 523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.55 : 828.89 = 379.46 : x
  2. Step 2: Convert to fraction form
    600.55/828.89 = 379.46/x
  3. Step 3: Cross multiply
    600.55x = 828.89 × 379.46
  4. Step 4: Simplify right side
    600.55x = 314,530.99
  5. Step 5: Solve for x
    x = 314,530.99/600.55
  6. Step 6: Final answer
    x = 523.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.