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Finding the Fourth Proportional to 355.84, 491.53 and 273.97

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Solution

The fourth proportional to 355.84, 491.53 and 273.97 is: 378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 491.53 = 273.97 : x
  2. Step 2: Convert to fraction form
    355.84/491.53 = 273.97/x
  3. Step 3: Cross multiply
    355.84x = 491.53 × 273.97
  4. Step 4: Simplify right side
    355.84x = 134,662.56
  5. Step 5: Solve for x
    x = 134,662.56/355.84
  6. Step 6: Final answer
    x = 378.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.