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Finding the Fourth Proportional to 615.82, 850.01 and 406.15

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Solution

The fourth proportional to 615.82, 850.01 and 406.15 is: 560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.82 : 850.01 = 406.15 : x
  2. Step 2: Convert to fraction form
    615.82/850.01 = 406.15/x
  3. Step 3: Cross multiply
    615.82x = 850.01 × 406.15
  4. Step 4: Simplify right side
    615.82x = 345,231.56
  5. Step 5: Solve for x
    x = 345,231.56/615.82
  6. Step 6: Final answer
    x = 560.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.