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Finding the Fourth Proportional to 403.91, 605.96 and 282.23

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Solution

The fourth proportional to 403.91, 605.96 and 282.23 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.91 : 605.96 = 282.23 : x
  2. Step 2: Convert to fraction form
    403.91/605.96 = 282.23/x
  3. Step 3: Cross multiply
    403.91x = 605.96 × 282.23
  4. Step 4: Simplify right side
    403.91x = 171,018.68
  5. Step 5: Solve for x
    x = 171,018.68/403.91
  6. Step 6: Final answer
    x = 423.41

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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.