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Finding the Fourth Proportional to 598.22, 825.59 and 336.29

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Solution

The fourth proportional to 598.22, 825.59 and 336.29 is: 464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.22 : 825.59 = 336.29 : x
  2. Step 2: Convert to fraction form
    598.22/825.59 = 336.29/x
  3. Step 3: Cross multiply
    598.22x = 825.59 × 336.29
  4. Step 4: Simplify right side
    598.22x = 277,634.37
  5. Step 5: Solve for x
    x = 277,634.37/598.22
  6. Step 6: Final answer
    x = 464.10

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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.