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Finding the Fourth Proportional to 425.16, 638.63 and 411.31

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Solution

The fourth proportional to 425.16, 638.63 and 411.31 is: 617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.16 : 638.63 = 411.31 : x
  2. Step 2: Convert to fraction form
    425.16/638.63 = 411.31/x
  3. Step 3: Cross multiply
    425.16x = 638.63 × 411.31
  4. Step 4: Simplify right side
    425.16x = 262,672.85
  5. Step 5: Solve for x
    x = 262,672.85/425.16
  6. Step 6: Final answer
    x = 617.83

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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.