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Finding the Fourth Proportional to 299.06, 445.65 and 289.27

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Solution

The fourth proportional to 299.06, 445.65 and 289.27 is: 431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.06 : 445.65 = 289.27 : x
  2. Step 2: Convert to fraction form
    299.06/445.65 = 289.27/x
  3. Step 3: Cross multiply
    299.06x = 445.65 × 289.27
  4. Step 4: Simplify right side
    299.06x = 128,914.27
  5. Step 5: Solve for x
    x = 128,914.27/299.06
  6. Step 6: Final answer
    x = 431.07

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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.