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Finding the Fourth Proportional to 838.81, 1,257.82 and 311.35

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Solution

The fourth proportional to 838.81, 1,257.82 and 311.35 is: 466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.81 : 1,257.82 = 311.35 : x
  2. Step 2: Convert to fraction form
    838.81/1,257.82 = 311.35/x
  3. Step 3: Cross multiply
    838.81x = 1,257.82 × 311.35
  4. Step 4: Simplify right side
    838.81x = 391,629.07
  5. Step 5: Solve for x
    x = 391,629.07/838.81
  6. Step 6: Final answer
    x = 466.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.