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Finding the Fourth Proportional to 403.97, 605.99 and 382.10

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Solution

The fourth proportional to 403.97, 605.99 and 382.10 is: 573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.97 : 605.99 = 382.10 : x
  2. Step 2: Convert to fraction form
    403.97/605.99 = 382.10/x
  3. Step 3: Cross multiply
    403.97x = 605.99 × 382.10
  4. Step 4: Simplify right side
    403.97x = 231,543.84
  5. Step 5: Solve for x
    x = 231,543.84/403.97
  6. Step 6: Final answer
    x = 573.18

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Why These Related Problems?

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