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Finding the Fourth Proportional to 599.51, 827.31 and 378.84

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Solution

The fourth proportional to 599.51, 827.31 and 378.84 is: 522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.51 : 827.31 = 378.84 : x
  2. Step 2: Convert to fraction form
    599.51/827.31 = 378.84/x
  3. Step 3: Cross multiply
    599.51x = 827.31 × 378.84
  4. Step 4: Simplify right side
    599.51x = 313,418.12
  5. Step 5: Solve for x
    x = 313,418.12/599.51
  6. Step 6: Final answer
    x = 522.79

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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.