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Finding the Fourth Proportional to 976.47, 1,464.17 and 327.03

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Solution

The fourth proportional to 976.47, 1,464.17 and 327.03 is: 490.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.47 : 1,464.17 = 327.03 : x
  2. Step 2: Convert to fraction form
    976.47/1,464.17 = 327.03/x
  3. Step 3: Cross multiply
    976.47x = 1,464.17 × 327.03
  4. Step 4: Simplify right side
    976.47x = 478,825.88
  5. Step 5: Solve for x
    x = 478,825.88/976.47
  6. Step 6: Final answer
    x = 490.36

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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.