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Finding the Fourth Proportional to 305.67, 422.82 and 286.08

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Solution

The fourth proportional to 305.67, 422.82 and 286.08 is: 395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.67 : 422.82 = 286.08 : x
  2. Step 2: Convert to fraction form
    305.67/422.82 = 286.08/x
  3. Step 3: Cross multiply
    305.67x = 422.82 × 286.08
  4. Step 4: Simplify right side
    305.67x = 120,960.35
  5. Step 5: Solve for x
    x = 120,960.35/305.67
  6. Step 6: Final answer
    x = 395.72

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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.