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Finding the Fourth Proportional to 320.88, 441.92 and 319.97

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Solution

The fourth proportional to 320.88, 441.92 and 319.97 is: 440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.88 : 441.92 = 319.97 : x
  2. Step 2: Convert to fraction form
    320.88/441.92 = 319.97/x
  3. Step 3: Cross multiply
    320.88x = 441.92 × 319.97
  4. Step 4: Simplify right side
    320.88x = 141,403.05
  5. Step 5: Solve for x
    x = 141,403.05/320.88
  6. Step 6: Final answer
    x = 440.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.