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Finding the Fourth Proportional to 428.66, 642.96 and 120.53

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Solution

The fourth proportional to 428.66, 642.96 and 120.53 is: 180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.66 : 642.96 = 120.53 : x
  2. Step 2: Convert to fraction form
    428.66/642.96 = 120.53/x
  3. Step 3: Cross multiply
    428.66x = 642.96 × 120.53
  4. Step 4: Simplify right side
    428.66x = 77,495.97
  5. Step 5: Solve for x
    x = 77,495.97/428.66
  6. Step 6: Final answer
    x = 180.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.