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Finding the Fourth Proportional to 278.20, 417.30 and 276.60

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Solution

The fourth proportional to 278.20, 417.30 and 276.60 is: 414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.20 : 417.30 = 276.60 : x
  2. Step 2: Convert to fraction form
    278.20/417.30 = 276.60/x
  3. Step 3: Cross multiply
    278.20x = 417.30 × 276.60
  4. Step 4: Simplify right side
    278.20x = 115,425.18
  5. Step 5: Solve for x
    x = 115,425.18/278.20
  6. Step 6: Final answer
    x = 414.90

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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.