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Finding the Fourth Proportional to 428.62, 638.66 and 412.96

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Solution

The fourth proportional to 428.62, 638.66 and 412.96 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.62 : 638.66 = 412.96 : x
  2. Step 2: Convert to fraction form
    428.62/638.66 = 412.96/x
  3. Step 3: Cross multiply
    428.62x = 638.66 × 412.96
  4. Step 4: Simplify right side
    428.62x = 263,741.03
  5. Step 5: Solve for x
    x = 263,741.03/428.62
  6. Step 6: Final answer
    x = 615.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.