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Finding the Fourth Proportional to 600.71, 828.77 and 379.44

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Solution

The fourth proportional to 600.71, 828.77 and 379.44 is: 523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.71 : 828.77 = 379.44 : x
  2. Step 2: Convert to fraction form
    600.71/828.77 = 379.44/x
  3. Step 3: Cross multiply
    600.71x = 828.77 × 379.44
  4. Step 4: Simplify right side
    600.71x = 314,466.59
  5. Step 5: Solve for x
    x = 314,466.59/600.71
  6. Step 6: Final answer
    x = 523.50

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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.