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Finding the Fourth Proportional to 600.32, 828.41 and 338.37

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Solution

The fourth proportional to 600.32, 828.41 and 338.37 is: 466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.32 : 828.41 = 338.37 : x
  2. Step 2: Convert to fraction form
    600.32/828.41 = 338.37/x
  3. Step 3: Cross multiply
    600.32x = 828.41 × 338.37
  4. Step 4: Simplify right side
    600.32x = 280,307.40
  5. Step 5: Solve for x
    x = 280,307.40/600.32
  6. Step 6: Final answer
    x = 466.93

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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.