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Finding the Fourth Proportional to 396.51, 593.75 and 273.50

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Solution

The fourth proportional to 396.51, 593.75 and 273.50 is: 409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.51 : 593.75 = 273.50 : x
  2. Step 2: Convert to fraction form
    396.51/593.75 = 273.50/x
  3. Step 3: Cross multiply
    396.51x = 593.75 × 273.50
  4. Step 4: Simplify right side
    396.51x = 162,386.65
  5. Step 5: Solve for x
    x = 162,386.65/396.51
  6. Step 6: Final answer
    x = 409.54

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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.