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Finding the Fourth Proportional to 615.96, 850.26 and 419.56

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Solution

The fourth proportional to 615.96, 850.26 and 419.56 is: 579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.96 : 850.26 = 419.56 : x
  2. Step 2: Convert to fraction form
    615.96/850.26 = 419.56/x
  3. Step 3: Cross multiply
    615.96x = 850.26 × 419.56
  4. Step 4: Simplify right side
    615.96x = 356,735.09
  5. Step 5: Solve for x
    x = 356,735.09/615.96
  6. Step 6: Final answer
    x = 579.15

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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.