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Finding the Fourth Proportional to 600.40, 828 and 378.97

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Solution

The fourth proportional to 600.40, 828 and 378.97 is: 522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 828 = 378.97 : x
  2. Step 2: Convert to fraction form
    600.40/828 = 378.97/x
  3. Step 3: Cross multiply
    600.40x = 828 × 378.97
  4. Step 4: Simplify right side
    600.40x = 313,783.02
  5. Step 5: Solve for x
    x = 313,783.02/600.40
  6. Step 6: Final answer
    x = 522.63

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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.