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Finding the Fourth Proportional to 600.16, 828.26 and 338.16

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Solution

The fourth proportional to 600.16, 828.26 and 338.16 is: 466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.16 : 828.26 = 338.16 : x
  2. Step 2: Convert to fraction form
    600.16/828.26 = 338.16/x
  3. Step 3: Cross multiply
    600.16x = 828.26 × 338.16
  4. Step 4: Simplify right side
    600.16x = 280,084.40
  5. Step 5: Solve for x
    x = 280,084.40/600.16
  6. Step 6: Final answer
    x = 466.68

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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.