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Finding the Fourth Proportional to 600.32, 828.48 and 338.24

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Solution

The fourth proportional to 600.32, 828.48 and 338.24 is: 466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.32 : 828.48 = 338.24 : x
  2. Step 2: Convert to fraction form
    600.32/828.48 = 338.24/x
  3. Step 3: Cross multiply
    600.32x = 828.48 × 338.24
  4. Step 4: Simplify right side
    600.32x = 280,225.08
  5. Step 5: Solve for x
    x = 280,225.08/600.32
  6. Step 6: Final answer
    x = 466.79

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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.