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Finding the Fourth Proportional to 305.44, 420.60 and 272.68

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Solution

The fourth proportional to 305.44, 420.60 and 272.68 is: 375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 420.60 = 272.68 : x
  2. Step 2: Convert to fraction form
    305.44/420.60 = 272.68/x
  3. Step 3: Cross multiply
    305.44x = 420.60 × 272.68
  4. Step 4: Simplify right side
    305.44x = 114,689.21
  5. Step 5: Solve for x
    x = 114,689.21/305.44
  6. Step 6: Final answer
    x = 375.49

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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.