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Finding the Fourth Proportional to 442.41, 610.98 and 331.71

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Solution

The fourth proportional to 442.41, 610.98 and 331.71 is: 458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.41 : 610.98 = 331.71 : x
  2. Step 2: Convert to fraction form
    442.41/610.98 = 331.71/x
  3. Step 3: Cross multiply
    442.41x = 610.98 × 331.71
  4. Step 4: Simplify right side
    442.41x = 202,663.46
  5. Step 5: Solve for x
    x = 202,663.46/442.41
  6. Step 6: Final answer
    x = 458.09

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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.