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Finding the Fourth Proportional to 705.71, 974.68 and 481.26

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Solution

The fourth proportional to 705.71, 974.68 and 481.26 is: 664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.71 : 974.68 = 481.26 : x
  2. Step 2: Convert to fraction form
    705.71/974.68 = 481.26/x
  3. Step 3: Cross multiply
    705.71x = 974.68 × 481.26
  4. Step 4: Simplify right side
    705.71x = 469,073.29
  5. Step 5: Solve for x
    x = 469,073.29/705.71
  6. Step 6: Final answer
    x = 664.68

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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.