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Finding the Fourth Proportional to 599.12, 827.16 and 392.24

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Solution

The fourth proportional to 599.12, 827.16 and 392.24 is: 541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.12 : 827.16 = 392.24 : x
  2. Step 2: Convert to fraction form
    599.12/827.16 = 392.24/x
  3. Step 3: Cross multiply
    599.12x = 827.16 × 392.24
  4. Step 4: Simplify right side
    599.12x = 324,445.24
  5. Step 5: Solve for x
    x = 324,445.24/599.12
  6. Step 6: Final answer
    x = 541.54

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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.