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Finding the Fourth Proportional to 278.49, 416.97 and 252.84

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Solution

The fourth proportional to 278.49, 416.97 and 252.84 is: 378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.49 : 416.97 = 252.84 : x
  2. Step 2: Convert to fraction form
    278.49/416.97 = 252.84/x
  3. Step 3: Cross multiply
    278.49x = 416.97 × 252.84
  4. Step 4: Simplify right side
    278.49x = 105,426.69
  5. Step 5: Solve for x
    x = 105,426.69/278.49
  6. Step 6: Final answer
    x = 378.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.