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Finding the Fourth Proportional to 289.27, 399.33 and 219.36

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Solution

The fourth proportional to 289.27, 399.33 and 219.36 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.27 : 399.33 = 219.36 : x
  2. Step 2: Convert to fraction form
    289.27/399.33 = 219.36/x
  3. Step 3: Cross multiply
    289.27x = 399.33 × 219.36
  4. Step 4: Simplify right side
    289.27x = 87,595.93
  5. Step 5: Solve for x
    x = 87,595.93/289.27
  6. Step 6: Final answer
    x = 302.82

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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.