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Finding the Fourth Proportional to 278.44, 417.98 and 271.08

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Solution

The fourth proportional to 278.44, 417.98 and 271.08 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 417.98 = 271.08 : x
  2. Step 2: Convert to fraction form
    278.44/417.98 = 271.08/x
  3. Step 3: Cross multiply
    278.44x = 417.98 × 271.08
  4. Step 4: Simplify right side
    278.44x = 113,306.02
  5. Step 5: Solve for x
    x = 113,306.02/278.44
  6. Step 6: Final answer
    x = 406.93

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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.