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Finding the Fourth Proportional to 598.25, 825.86 and 441.20

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Solution

The fourth proportional to 598.25, 825.86 and 441.20 is: 609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 825.86 = 441.20 : x
  2. Step 2: Convert to fraction form
    598.25/825.86 = 441.20/x
  3. Step 3: Cross multiply
    598.25x = 825.86 × 441.20
  4. Step 4: Simplify right side
    598.25x = 364,367.23
  5. Step 5: Solve for x
    x = 364,367.23/598.25
  6. Step 6: Final answer
    x = 609.06

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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.