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Finding the Fourth Proportional to 367.70, 507.47 and 227.76

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Solution

The fourth proportional to 367.70, 507.47 and 227.76 is: 314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.70 : 507.47 = 227.76 : x
  2. Step 2: Convert to fraction form
    367.70/507.47 = 227.76/x
  3. Step 3: Cross multiply
    367.70x = 507.47 × 227.76
  4. Step 4: Simplify right side
    367.70x = 115,580.23
  5. Step 5: Solve for x
    x = 115,580.23/367.70
  6. Step 6: Final answer
    x = 314.34

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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.