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Finding the Fourth Proportional to 818.64, 1,227.99 and 331.70

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Solution

The fourth proportional to 818.64, 1,227.99 and 331.70 is: 497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.64 : 1,227.99 = 331.70 : x
  2. Step 2: Convert to fraction form
    818.64/1,227.99 = 331.70/x
  3. Step 3: Cross multiply
    818.64x = 1,227.99 × 331.70
  4. Step 4: Simplify right side
    818.64x = 407,318.14
  5. Step 5: Solve for x
    x = 407,318.14/818.64
  6. Step 6: Final answer
    x = 497.55

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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.