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Finding the Fourth Proportional to 403.97, 605.84 and 115.34

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Solution

The fourth proportional to 403.97, 605.84 and 115.34 is: 172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.97 : 605.84 = 115.34 : x
  2. Step 2: Convert to fraction form
    403.97/605.84 = 115.34/x
  3. Step 3: Cross multiply
    403.97x = 605.84 × 115.34
  4. Step 4: Simplify right side
    403.97x = 69,873.98
  5. Step 5: Solve for x
    x = 69,873.98/403.97
  6. Step 6: Final answer
    x = 172.97

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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.