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Finding the Fourth Proportional to 374.55, 516.78 and 227.25

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Solution

The fourth proportional to 374.55, 516.78 and 227.25 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.55 : 516.78 = 227.25 : x
  2. Step 2: Convert to fraction form
    374.55/516.78 = 227.25/x
  3. Step 3: Cross multiply
    374.55x = 516.78 × 227.25
  4. Step 4: Simplify right side
    374.55x = 117,438.26
  5. Step 5: Solve for x
    x = 117,438.26/374.55
  6. Step 6: Final answer
    x = 313.54

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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.