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Finding the Fourth Proportional to 403.69, 604.50 and 273.55

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Solution

The fourth proportional to 403.69, 604.50 and 273.55 is: 409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.69 : 604.50 = 273.55 : x
  2. Step 2: Convert to fraction form
    403.69/604.50 = 273.55/x
  3. Step 3: Cross multiply
    403.69x = 604.50 × 273.55
  4. Step 4: Simplify right side
    403.69x = 165,360.98
  5. Step 5: Solve for x
    x = 165,360.98/403.69
  6. Step 6: Final answer
    x = 409.62

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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.