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Finding the Fourth Proportional to 289.78, 431.36 and 286.67

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Solution

The fourth proportional to 289.78, 431.36 and 286.67 is: 426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.78 : 431.36 = 286.67 : x
  2. Step 2: Convert to fraction form
    289.78/431.36 = 286.67/x
  3. Step 3: Cross multiply
    289.78x = 431.36 × 286.67
  4. Step 4: Simplify right side
    289.78x = 123,657.97
  5. Step 5: Solve for x
    x = 123,657.97/289.78
  6. Step 6: Final answer
    x = 426.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.