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Finding the Fourth Proportional to 277.40, 416.22 and 273.08

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Solution

The fourth proportional to 277.40, 416.22 and 273.08 is: 409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 416.22 = 273.08 : x
  2. Step 2: Convert to fraction form
    277.40/416.22 = 273.08/x
  3. Step 3: Cross multiply
    277.40x = 416.22 × 273.08
  4. Step 4: Simplify right side
    277.40x = 113,661.36
  5. Step 5: Solve for x
    x = 113,661.36/277.40
  6. Step 6: Final answer
    x = 409.74

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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.