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Finding the Fourth Proportional to 431.62, 648.15 and 428.26

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Solution

The fourth proportional to 431.62, 648.15 and 428.26 is: 643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.62 : 648.15 = 428.26 : x
  2. Step 2: Convert to fraction form
    431.62/648.15 = 428.26/x
  3. Step 3: Cross multiply
    431.62x = 648.15 × 428.26
  4. Step 4: Simplify right side
    431.62x = 277,576.72
  5. Step 5: Solve for x
    x = 277,576.72/431.62
  6. Step 6: Final answer
    x = 643.10

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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.