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Finding the Fourth Proportional to 320.44, 440.18 and 281.56

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Solution

The fourth proportional to 320.44, 440.18 and 281.56 is: 386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.44 : 440.18 = 281.56 : x
  2. Step 2: Convert to fraction form
    320.44/440.18 = 281.56/x
  3. Step 3: Cross multiply
    320.44x = 440.18 × 281.56
  4. Step 4: Simplify right side
    320.44x = 123,937.08
  5. Step 5: Solve for x
    x = 123,937.08/320.44
  6. Step 6: Final answer
    x = 386.77

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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.