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Finding the Fourth Proportional to 373.94, 516.04 and 226.57

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Solution

The fourth proportional to 373.94, 516.04 and 226.57 is: 312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.94 : 516.04 = 226.57 : x
  2. Step 2: Convert to fraction form
    373.94/516.04 = 226.57/x
  3. Step 3: Cross multiply
    373.94x = 516.04 × 226.57
  4. Step 4: Simplify right side
    373.94x = 116,918.62
  5. Step 5: Solve for x
    x = 116,918.62/373.94
  6. Step 6: Final answer
    x = 312.67

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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.