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Finding the Fourth Proportional to 374.49, 516.84 and 227.16

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Solution

The fourth proportional to 374.49, 516.84 and 227.16 is: 313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.49 : 516.84 = 227.16 : x
  2. Step 2: Convert to fraction form
    374.49/516.84 = 227.16/x
  3. Step 3: Cross multiply
    374.49x = 516.84 × 227.16
  4. Step 4: Simplify right side
    374.49x = 117,405.37
  5. Step 5: Solve for x
    x = 117,405.37/374.49
  6. Step 6: Final answer
    x = 313.51

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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.