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Finding the Fourth Proportional to 403.68, 605.89 and 382.32

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Solution

The fourth proportional to 403.68, 605.89 and 382.32 is: 573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.68 : 605.89 = 382.32 : x
  2. Step 2: Convert to fraction form
    403.68/605.89 = 382.32/x
  3. Step 3: Cross multiply
    403.68x = 605.89 × 382.32
  4. Step 4: Simplify right side
    403.68x = 231,640.84
  5. Step 5: Solve for x
    x = 231,640.84/403.68
  6. Step 6: Final answer
    x = 573.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.