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Finding the Fourth Proportional to 374.64, 516.96 and 227.24

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Solution

The fourth proportional to 374.64, 516.96 and 227.24 is: 313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.64 : 516.96 = 227.24 : x
  2. Step 2: Convert to fraction form
    374.64/516.96 = 227.24/x
  3. Step 3: Cross multiply
    374.64x = 516.96 × 227.24
  4. Step 4: Simplify right side
    374.64x = 117,473.99
  5. Step 5: Solve for x
    x = 117,473.99/374.64
  6. Step 6: Final answer
    x = 313.56

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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.