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Finding the Fourth Proportional to 598.26, 825.57 and 349.59

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Solution

The fourth proportional to 598.26, 825.57 and 349.59 is: 482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.26 : 825.57 = 349.59 : x
  2. Step 2: Convert to fraction form
    598.26/825.57 = 349.59/x
  3. Step 3: Cross multiply
    598.26x = 825.57 × 349.59
  4. Step 4: Simplify right side
    598.26x = 288,611.02
  5. Step 5: Solve for x
    x = 288,611.02/598.26
  6. Step 6: Final answer
    x = 482.42

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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.