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Finding the Fourth Proportional to 403.74, 605.61 and 172.62

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Solution

The fourth proportional to 403.74, 605.61 and 172.62 is: 258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.74 : 605.61 = 172.62 : x
  2. Step 2: Convert to fraction form
    403.74/605.61 = 172.62/x
  3. Step 3: Cross multiply
    403.74x = 605.61 × 172.62
  4. Step 4: Simplify right side
    403.74x = 104,540.40
  5. Step 5: Solve for x
    x = 104,540.40/403.74
  6. Step 6: Final answer
    x = 258.93

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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.