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Finding the Fourth Proportional to 462.41, 638.22 and 314.94

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Solution

The fourth proportional to 462.41, 638.22 and 314.94 is: 434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.41 : 638.22 = 314.94 : x
  2. Step 2: Convert to fraction form
    462.41/638.22 = 314.94/x
  3. Step 3: Cross multiply
    462.41x = 638.22 × 314.94
  4. Step 4: Simplify right side
    462.41x = 200,997.82
  5. Step 5: Solve for x
    x = 200,997.82/462.41
  6. Step 6: Final answer
    x = 434.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.