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Finding the Fourth Proportional to 305.70, 422.37 and 287.43

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Solution

The fourth proportional to 305.70, 422.37 and 287.43 is: 397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.70 : 422.37 = 287.43 : x
  2. Step 2: Convert to fraction form
    305.70/422.37 = 287.43/x
  3. Step 3: Cross multiply
    305.70x = 422.37 × 287.43
  4. Step 4: Simplify right side
    305.70x = 121,401.81
  5. Step 5: Solve for x
    x = 121,401.81/305.70
  6. Step 6: Final answer
    x = 397.13

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