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Finding the Fourth Proportional to 320.46, 443.07 and 287.34

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Solution

The fourth proportional to 320.46, 443.07 and 287.34 is: 397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.46 : 443.07 = 287.34 : x
  2. Step 2: Convert to fraction form
    320.46/443.07 = 287.34/x
  3. Step 3: Cross multiply
    320.46x = 443.07 × 287.34
  4. Step 4: Simplify right side
    320.46x = 127,311.73
  5. Step 5: Solve for x
    x = 127,311.73/320.46
  6. Step 6: Final answer
    x = 397.28

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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.