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Finding the Fourth Proportional to 600.42, 828.59 and 338.45

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Solution

The fourth proportional to 600.42, 828.59 and 338.45 is: 467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.42 : 828.59 = 338.45 : x
  2. Step 2: Convert to fraction form
    600.42/828.59 = 338.45/x
  3. Step 3: Cross multiply
    600.42x = 828.59 × 338.45
  4. Step 4: Simplify right side
    600.42x = 280,430.45
  5. Step 5: Solve for x
    x = 280,430.45/600.42
  6. Step 6: Final answer
    x = 467.06

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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.