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Finding the Fourth Proportional to 600.33, 828.45 and 338.35

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Solution

The fourth proportional to 600.33, 828.45 and 338.35 is: 466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.33 : 828.45 = 338.35 : x
  2. Step 2: Convert to fraction form
    600.33/828.45 = 338.35/x
  3. Step 3: Cross multiply
    600.33x = 828.45 × 338.35
  4. Step 4: Simplify right side
    600.33x = 280,306.06
  5. Step 5: Solve for x
    x = 280,306.06/600.33
  6. Step 6: Final answer
    x = 466.92

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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.