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Finding the Fourth Proportional to 309.70, 463.74 and 273.25

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Solution

The fourth proportional to 309.70, 463.74 and 273.25 is: 409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.70 : 463.74 = 273.25 : x
  2. Step 2: Convert to fraction form
    309.70/463.74 = 273.25/x
  3. Step 3: Cross multiply
    309.70x = 463.74 × 273.25
  4. Step 4: Simplify right side
    309.70x = 126,716.96
  5. Step 5: Solve for x
    x = 126,716.96/309.70
  6. Step 6: Final answer
    x = 409.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.