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Finding the Fourth Proportional to 600.58, 828.78 and 338.57

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Solution

The fourth proportional to 600.58, 828.78 and 338.57 is: 467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.58 : 828.78 = 338.57 : x
  2. Step 2: Convert to fraction form
    600.58/828.78 = 338.57/x
  3. Step 3: Cross multiply
    600.58x = 828.78 × 338.57
  4. Step 4: Simplify right side
    600.58x = 280,595.90
  5. Step 5: Solve for x
    x = 280,595.90/600.58
  6. Step 6: Final answer
    x = 467.21

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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.