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Finding the Fourth Proportional to 325.92, 446.48 and 313.62

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Solution

The fourth proportional to 325.92, 446.48 and 313.62 is: 429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.92 : 446.48 = 313.62 : x
  2. Step 2: Convert to fraction form
    325.92/446.48 = 313.62/x
  3. Step 3: Cross multiply
    325.92x = 446.48 × 313.62
  4. Step 4: Simplify right side
    325.92x = 140,023.49
  5. Step 5: Solve for x
    x = 140,023.49/325.92
  6. Step 6: Final answer
    x = 429.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.