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Finding the Fourth Proportional to 599.40, 827.16 and 333.84

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Solution

The fourth proportional to 599.40, 827.16 and 333.84 is: 460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.40 : 827.16 = 333.84 : x
  2. Step 2: Convert to fraction form
    599.40/827.16 = 333.84/x
  3. Step 3: Cross multiply
    599.40x = 827.16 × 333.84
  4. Step 4: Simplify right side
    599.40x = 276,134.74
  5. Step 5: Solve for x
    x = 276,134.74/599.40
  6. Step 6: Final answer
    x = 460.68

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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.