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Finding the Fourth Proportional to 325.32, 486.92 and 297.96

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Solution

The fourth proportional to 325.32, 486.92 and 297.96 is: 445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.32 : 486.92 = 297.96 : x
  2. Step 2: Convert to fraction form
    325.32/486.92 = 297.96/x
  3. Step 3: Cross multiply
    325.32x = 486.92 × 297.96
  4. Step 4: Simplify right side
    325.32x = 145,082.68
  5. Step 5: Solve for x
    x = 145,082.68/325.32
  6. Step 6: Final answer
    x = 445.97

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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.