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Finding the Fourth Proportional to 305.92, 422.56 and 256.96

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Solution

The fourth proportional to 305.92, 422.56 and 256.96 is: 354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.92 : 422.56 = 256.96 : x
  2. Step 2: Convert to fraction form
    305.92/422.56 = 256.96/x
  3. Step 3: Cross multiply
    305.92x = 422.56 × 256.96
  4. Step 4: Simplify right side
    305.92x = 108,581.02
  5. Step 5: Solve for x
    x = 108,581.02/305.92
  6. Step 6: Final answer
    x = 354.93

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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.