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Finding the Fourth Proportional to 276.30, 414.69 and 218.70

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Solution

The fourth proportional to 276.30, 414.69 and 218.70 is: 328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.30 : 414.69 = 218.70 : x
  2. Step 2: Convert to fraction form
    276.30/414.69 = 218.70/x
  3. Step 3: Cross multiply
    276.30x = 414.69 × 218.70
  4. Step 4: Simplify right side
    276.30x = 90,692.70
  5. Step 5: Solve for x
    x = 90,692.70/276.30
  6. Step 6: Final answer
    x = 328.24

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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.