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Finding the Fourth Proportional to 374.63, 516.83 and 217.22

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Solution

The fourth proportional to 374.63, 516.83 and 217.22 is: 299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.63 : 516.83 = 217.22 : x
  2. Step 2: Convert to fraction form
    374.63/516.83 = 217.22/x
  3. Step 3: Cross multiply
    374.63x = 516.83 × 217.22
  4. Step 4: Simplify right side
    374.63x = 112,262.14
  5. Step 5: Solve for x
    x = 112,262.14/374.63
  6. Step 6: Final answer
    x = 299.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.