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Finding the Fourth Proportional to 289.65, 400.07 and 227.69

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Solution

The fourth proportional to 289.65, 400.07 and 227.69 is: 314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.65 : 400.07 = 227.69 : x
  2. Step 2: Convert to fraction form
    289.65/400.07 = 227.69/x
  3. Step 3: Cross multiply
    289.65x = 400.07 × 227.69
  4. Step 4: Simplify right side
    289.65x = 91,091.94
  5. Step 5: Solve for x
    x = 91,091.94/289.65
  6. Step 6: Final answer
    x = 314.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.