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Finding the Fourth Proportional to 600.41, 827.31 and 460.55

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Solution

The fourth proportional to 600.41, 827.31 and 460.55 is: 634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.41 : 827.31 = 460.55 : x
  2. Step 2: Convert to fraction form
    600.41/827.31 = 460.55/x
  3. Step 3: Cross multiply
    600.41x = 827.31 × 460.55
  4. Step 4: Simplify right side
    600.41x = 381,017.62
  5. Step 5: Solve for x
    x = 381,017.62/600.41
  6. Step 6: Final answer
    x = 634.60

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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.