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Finding the Fourth Proportional to 600.94, 829.83 and 462.43

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Solution

The fourth proportional to 600.94, 829.83 and 462.43 is: 638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.94 : 829.83 = 462.43 : x
  2. Step 2: Convert to fraction form
    600.94/829.83 = 462.43/x
  3. Step 3: Cross multiply
    600.94x = 829.83 × 462.43
  4. Step 4: Simplify right side
    600.94x = 383,738.29
  5. Step 5: Solve for x
    x = 383,738.29/600.94
  6. Step 6: Final answer
    x = 638.56

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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.