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Finding the Fourth Proportional to 976.35, 1,464.76 and 327.07

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Solution

The fourth proportional to 976.35, 1,464.76 and 327.07 is: 490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.35 : 1,464.76 = 327.07 : x
  2. Step 2: Convert to fraction form
    976.35/1,464.76 = 327.07/x
  3. Step 3: Cross multiply
    976.35x = 1,464.76 × 327.07
  4. Step 4: Simplify right side
    976.35x = 479,071.73
  5. Step 5: Solve for x
    x = 479,071.73/976.35
  6. Step 6: Final answer
    x = 490.68

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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.