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Finding the Fourth Proportional to 598.60, 825.92 and 336.60

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Solution

The fourth proportional to 598.60, 825.92 and 336.60 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.60 : 825.92 = 336.60 : x
  2. Step 2: Convert to fraction form
    598.60/825.92 = 336.60/x
  3. Step 3: Cross multiply
    598.60x = 825.92 × 336.60
  4. Step 4: Simplify right side
    598.60x = 278,004.67
  5. Step 5: Solve for x
    x = 278,004.67/598.60
  6. Step 6: Final answer
    x = 464.42

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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.