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Finding the Fourth Proportional to 985.33, 1,478.08 and 327.07

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Solution

The fourth proportional to 985.33, 1,478.08 and 327.07 is: 490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.33 : 1,478.08 = 327.07 : x
  2. Step 2: Convert to fraction form
    985.33/1,478.08 = 327.07/x
  3. Step 3: Cross multiply
    985.33x = 1,478.08 × 327.07
  4. Step 4: Simplify right side
    985.33x = 483,437.88
  5. Step 5: Solve for x
    x = 483,437.88/985.33
  6. Step 6: Final answer
    x = 490.63

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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.