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Finding the Fourth Proportional to 481.41, 663.62 and 410.94

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Solution

The fourth proportional to 481.41, 663.62 and 410.94 is: 566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.41 : 663.62 = 410.94 : x
  2. Step 2: Convert to fraction form
    481.41/663.62 = 410.94/x
  3. Step 3: Cross multiply
    481.41x = 663.62 × 410.94
  4. Step 4: Simplify right side
    481.41x = 272,705.95
  5. Step 5: Solve for x
    x = 272,705.95/481.41
  6. Step 6: Final answer
    x = 566.47

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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.