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Finding the Fourth Proportional to 305.27, 421.29 and 287.72

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Solution

The fourth proportional to 305.27, 421.29 and 287.72 is: 397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.27 : 421.29 = 287.72 : x
  2. Step 2: Convert to fraction form
    305.27/421.29 = 287.72/x
  3. Step 3: Cross multiply
    305.27x = 421.29 × 287.72
  4. Step 4: Simplify right side
    305.27x = 121,213.56
  5. Step 5: Solve for x
    x = 121,213.56/305.27
  6. Step 6: Final answer
    x = 397.07

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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.