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Finding the Fourth Proportional to 600.42, 828.48 and 338.46

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Solution

The fourth proportional to 600.42, 828.48 and 338.46 is: 467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.42 : 828.48 = 338.46 : x
  2. Step 2: Convert to fraction form
    600.42/828.48 = 338.46/x
  3. Step 3: Cross multiply
    600.42x = 828.48 × 338.46
  4. Step 4: Simplify right side
    600.42x = 280,407.34
  5. Step 5: Solve for x
    x = 280,407.34/600.42
  6. Step 6: Final answer
    x = 467.02

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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.