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Finding the Fourth Proportional to 599.15, 825.62 and 459.27

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Solution

The fourth proportional to 599.15, 825.62 and 459.27 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.15 : 825.62 = 459.27 : x
  2. Step 2: Convert to fraction form
    599.15/825.62 = 459.27/x
  3. Step 3: Cross multiply
    599.15x = 825.62 × 459.27
  4. Step 4: Simplify right side
    599.15x = 379,180.20
  5. Step 5: Solve for x
    x = 379,180.20/599.15
  6. Step 6: Final answer
    x = 632.86

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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.