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Finding the Fourth Proportional to 320.29, 441.33 and 303.82

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Solution

The fourth proportional to 320.29, 441.33 and 303.82 is: 418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.29 : 441.33 = 303.82 : x
  2. Step 2: Convert to fraction form
    320.29/441.33 = 303.82/x
  3. Step 3: Cross multiply
    320.29x = 441.33 × 303.82
  4. Step 4: Simplify right side
    320.29x = 134,084.88
  5. Step 5: Solve for x
    x = 134,084.88/320.29
  6. Step 6: Final answer
    x = 418.64

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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.