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Finding the Fourth Proportional to 278.65, 384.69 and 213.28

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Solution

The fourth proportional to 278.65, 384.69 and 213.28 is: 294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.65 : 384.69 = 213.28 : x
  2. Step 2: Convert to fraction form
    278.65/384.69 = 213.28/x
  3. Step 3: Cross multiply
    278.65x = 384.69 × 213.28
  4. Step 4: Simplify right side
    278.65x = 82,046.68
  5. Step 5: Solve for x
    x = 82,046.68/278.65
  6. Step 6: Final answer
    x = 294.44

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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.