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Finding the Fourth Proportional to 284.58, 391.41 and 231.75

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Solution

The fourth proportional to 284.58, 391.41 and 231.75 is: 318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.58 : 391.41 = 231.75 : x
  2. Step 2: Convert to fraction form
    284.58/391.41 = 231.75/x
  3. Step 3: Cross multiply
    284.58x = 391.41 × 231.75
  4. Step 4: Simplify right side
    284.58x = 90,709.27
  5. Step 5: Solve for x
    x = 90,709.27/284.58
  6. Step 6: Final answer
    x = 318.75

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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.