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Finding the Fourth Proportional to 447.87, 615.83 and 382.26

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Solution

The fourth proportional to 447.87, 615.83 and 382.26 is: 525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.87 : 615.83 = 382.26 : x
  2. Step 2: Convert to fraction form
    447.87/615.83 = 382.26/x
  3. Step 3: Cross multiply
    447.87x = 615.83 × 382.26
  4. Step 4: Simplify right side
    447.87x = 235,405.26
  5. Step 5: Solve for x
    x = 235,405.26/447.87
  6. Step 6: Final answer
    x = 525.61

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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.