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Finding the Fourth Proportional to 601, 829.46 and 394.12

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Solution

The fourth proportional to 601, 829.46 and 394.12 is: 543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    601 : 829.46 = 394.12 : x
  2. Step 2: Convert to fraction form
    601/829.46 = 394.12/x
  3. Step 3: Cross multiply
    601x = 829.46 × 394.12
  4. Step 4: Simplify right side
    601x = 326,906.78
  5. Step 5: Solve for x
    x = 326,906.78/601
  6. Step 6: Final answer
    x = 543.94

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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.