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Finding the Fourth Proportional to 976.32, 1,464.51 and 327.07

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Solution

The fourth proportional to 976.32, 1,464.51 and 327.07 is: 490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.32 : 1,464.51 = 327.07 : x
  2. Step 2: Convert to fraction form
    976.32/1,464.51 = 327.07/x
  3. Step 3: Cross multiply
    976.32x = 1,464.51 × 327.07
  4. Step 4: Simplify right side
    976.32x = 479,000.34
  5. Step 5: Solve for x
    x = 479,000.34/976.32
  6. Step 6: Final answer
    x = 490.62

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Why These Related Problems?

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