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Finding the Fourth Proportional to 600.06, 828.09 and 338.16

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Solution

The fourth proportional to 600.06, 828.09 and 338.16 is: 466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.06 : 828.09 = 338.16 : x
  2. Step 2: Convert to fraction form
    600.06/828.09 = 338.16/x
  3. Step 3: Cross multiply
    600.06x = 828.09 × 338.16
  4. Step 4: Simplify right side
    600.06x = 280,026.91
  5. Step 5: Solve for x
    x = 280,026.91/600.06
  6. Step 6: Final answer
    x = 466.66

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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.