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Finding the Fourth Proportional to 289.63, 399.89 and 211.09

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Solution

The fourth proportional to 289.63, 399.89 and 211.09 is: 291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.63 : 399.89 = 211.09 : x
  2. Step 2: Convert to fraction form
    289.63/399.89 = 211.09/x
  3. Step 3: Cross multiply
    289.63x = 399.89 × 211.09
  4. Step 4: Simplify right side
    289.63x = 84,412.78
  5. Step 5: Solve for x
    x = 84,412.78/289.63
  6. Step 6: Final answer
    x = 291.45

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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.