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Finding the Fourth Proportional to 356.11, 491.53 and 231.78

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Solution

The fourth proportional to 356.11, 491.53 and 231.78 is: 319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.11 : 491.53 = 231.78 : x
  2. Step 2: Convert to fraction form
    356.11/491.53 = 231.78/x
  3. Step 3: Cross multiply
    356.11x = 491.53 × 231.78
  4. Step 4: Simplify right side
    356.11x = 113,926.82
  5. Step 5: Solve for x
    x = 113,926.82/356.11
  6. Step 6: Final answer
    x = 319.92

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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.