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Finding the Fourth Proportional to 425.54, 638.31 and 408.53

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Solution

The fourth proportional to 425.54, 638.31 and 408.53 is: 612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.54 : 638.31 = 408.53 : x
  2. Step 2: Convert to fraction form
    425.54/638.31 = 408.53/x
  3. Step 3: Cross multiply
    425.54x = 638.31 × 408.53
  4. Step 4: Simplify right side
    425.54x = 260,768.78
  5. Step 5: Solve for x
    x = 260,768.78/425.54
  6. Step 6: Final answer
    x = 612.80

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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.