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Finding the Fourth Proportional to 305.82, 422.16 and 276.18

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Solution

The fourth proportional to 305.82, 422.16 and 276.18 is: 381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.82 : 422.16 = 276.18 : x
  2. Step 2: Convert to fraction form
    305.82/422.16 = 276.18/x
  3. Step 3: Cross multiply
    305.82x = 422.16 × 276.18
  4. Step 4: Simplify right side
    305.82x = 116,592.15
  5. Step 5: Solve for x
    x = 116,592.15/305.82
  6. Step 6: Final answer
    x = 381.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.