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Finding the Fourth Proportional to 599.20, 825.36 and 460.96

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Solution

The fourth proportional to 599.20, 825.36 and 460.96 is: 634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.20 : 825.36 = 460.96 : x
  2. Step 2: Convert to fraction form
    599.20/825.36 = 460.96/x
  3. Step 3: Cross multiply
    599.20x = 825.36 × 460.96
  4. Step 4: Simplify right side
    599.20x = 380,457.95
  5. Step 5: Solve for x
    x = 380,457.95/599.20
  6. Step 6: Final answer
    x = 634.94

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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.