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Finding the Fourth Proportional to 985.62, 1,478.05 and 327.29

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Solution

The fourth proportional to 985.62, 1,478.05 and 327.29 is: 490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.62 : 1,478.05 = 327.29 : x
  2. Step 2: Convert to fraction form
    985.62/1,478.05 = 327.29/x
  3. Step 3: Cross multiply
    985.62x = 1,478.05 × 327.29
  4. Step 4: Simplify right side
    985.62x = 483,750.98
  5. Step 5: Solve for x
    x = 483,750.98/985.62
  6. Step 6: Final answer
    x = 490.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.