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Finding the Fourth Proportional to 276.32, 414.24 and 204.08

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Solution

The fourth proportional to 276.32, 414.24 and 204.08 is: 305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.32 : 414.24 = 204.08 : x
  2. Step 2: Convert to fraction form
    276.32/414.24 = 204.08/x
  3. Step 3: Cross multiply
    276.32x = 414.24 × 204.08
  4. Step 4: Simplify right side
    276.32x = 84,538.10
  5. Step 5: Solve for x
    x = 84,538.10/276.32
  6. Step 6: Final answer
    x = 305.94

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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.