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Finding the Fourth Proportional to 374.83, 517.31 and 227.47

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Solution

The fourth proportional to 374.83, 517.31 and 227.47 is: 313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.83 : 517.31 = 227.47 : x
  2. Step 2: Convert to fraction form
    374.83/517.31 = 227.47/x
  3. Step 3: Cross multiply
    374.83x = 517.31 × 227.47
  4. Step 4: Simplify right side
    374.83x = 117,672.51
  5. Step 5: Solve for x
    x = 117,672.51/374.83
  6. Step 6: Final answer
    x = 313.94

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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.