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Finding the Fourth Proportional to 711.98, 982.08 and 460.23

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Solution

The fourth proportional to 711.98, 982.08 and 460.23 is: 634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.98 : 982.08 = 460.23 : x
  2. Step 2: Convert to fraction form
    711.98/982.08 = 460.23/x
  3. Step 3: Cross multiply
    711.98x = 982.08 × 460.23
  4. Step 4: Simplify right side
    711.98x = 451,982.68
  5. Step 5: Solve for x
    x = 451,982.68/711.98
  6. Step 6: Final answer
    x = 634.83

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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.