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Finding the Fourth Proportional to 599.28, 827.12 and 378.32

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Solution

The fourth proportional to 599.28, 827.12 and 378.32 is: 522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.28 : 827.12 = 378.32 : x
  2. Step 2: Convert to fraction form
    599.28/827.12 = 378.32/x
  3. Step 3: Cross multiply
    599.28x = 827.12 × 378.32
  4. Step 4: Simplify right side
    599.28x = 312,916.04
  5. Step 5: Solve for x
    x = 312,916.04/599.28
  6. Step 6: Final answer
    x = 522.15

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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.