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Finding the Fourth Proportional to 278.89, 418.41 and 278.89

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Solution

The fourth proportional to 278.89, 418.41 and 278.89 is: 418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.89 : 418.41 = 278.89 : x
  2. Step 2: Convert to fraction form
    278.89/418.41 = 278.89/x
  3. Step 3: Cross multiply
    278.89x = 418.41 × 278.89
  4. Step 4: Simplify right side
    278.89x = 116,689.32
  5. Step 5: Solve for x
    x = 116,689.32/278.89
  6. Step 6: Final answer
    x = 418.41

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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.