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Finding the Fourth Proportional to 276.40, 414.72 and 272.08

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Solution

The fourth proportional to 276.40, 414.72 and 272.08 is: 408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.40 : 414.72 = 272.08 : x
  2. Step 2: Convert to fraction form
    276.40/414.72 = 272.08/x
  3. Step 3: Cross multiply
    276.40x = 414.72 × 272.08
  4. Step 4: Simplify right side
    276.40x = 112,837.02
  5. Step 5: Solve for x
    x = 112,837.02/276.40
  6. Step 6: Final answer
    x = 408.24

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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.