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Finding the Fourth Proportional to 355.93, 491.48 and 231.54

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Solution

The fourth proportional to 355.93, 491.48 and 231.54 is: 319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.93 : 491.48 = 231.54 : x
  2. Step 2: Convert to fraction form
    355.93/491.48 = 231.54/x
  3. Step 3: Cross multiply
    355.93x = 491.48 × 231.54
  4. Step 4: Simplify right side
    355.93x = 113,799.21
  5. Step 5: Solve for x
    x = 113,799.21/355.93
  6. Step 6: Final answer
    x = 319.73

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