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Finding the Fourth Proportional to 403.89, 605.97 and 274.02

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Solution

The fourth proportional to 403.89, 605.97 and 274.02 is: 411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.89 : 605.97 = 274.02 : x
  2. Step 2: Convert to fraction form
    403.89/605.97 = 274.02/x
  3. Step 3: Cross multiply
    403.89x = 605.97 × 274.02
  4. Step 4: Simplify right side
    403.89x = 166,047.90
  5. Step 5: Solve for x
    x = 166,047.90/403.89
  6. Step 6: Final answer
    x = 411.12

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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.