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Finding the Fourth Proportional to 289.78, 400.34 and 227.41

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Solution

The fourth proportional to 289.78, 400.34 and 227.41 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.78 : 400.34 = 227.41 : x
  2. Step 2: Convert to fraction form
    289.78/400.34 = 227.41/x
  3. Step 3: Cross multiply
    289.78x = 400.34 × 227.41
  4. Step 4: Simplify right side
    289.78x = 91,041.32
  5. Step 5: Solve for x
    x = 91,041.32/289.78
  6. Step 6: Final answer
    x = 314.17

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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.