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Finding the Fourth Proportional to 599.99, 828.06 and 338.06

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Solution

The fourth proportional to 599.99, 828.06 and 338.06 is: 466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.99 : 828.06 = 338.06 : x
  2. Step 2: Convert to fraction form
    599.99/828.06 = 338.06/x
  3. Step 3: Cross multiply
    599.99x = 828.06 × 338.06
  4. Step 4: Simplify right side
    599.99x = 279,933.96
  5. Step 5: Solve for x
    x = 279,933.96/599.99
  6. Step 6: Final answer
    x = 466.56

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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.