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Finding the Fourth Proportional to 374.45, 516.78 and 227.13

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Solution

The fourth proportional to 374.45, 516.78 and 227.13 is: 313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.45 : 516.78 = 227.13 : x
  2. Step 2: Convert to fraction form
    374.45/516.78 = 227.13/x
  3. Step 3: Cross multiply
    374.45x = 516.78 × 227.13
  4. Step 4: Simplify right side
    374.45x = 117,376.24
  5. Step 5: Solve for x
    x = 117,376.24/374.45
  6. Step 6: Final answer
    x = 313.47

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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.