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Finding the Fourth Proportional to 428.21, 642.31 and 245.72

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Solution

The fourth proportional to 428.21, 642.31 and 245.72 is: 368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.21 : 642.31 = 245.72 : x
  2. Step 2: Convert to fraction form
    428.21/642.31 = 245.72/x
  3. Step 3: Cross multiply
    428.21x = 642.31 × 245.72
  4. Step 4: Simplify right side
    428.21x = 157,824.59
  5. Step 5: Solve for x
    x = 157,824.59/428.21
  6. Step 6: Final answer
    x = 368.57

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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.