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Finding the Fourth Proportional to 320.97, 481.59 and 280.47

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Solution

The fourth proportional to 320.97, 481.59 and 280.47 is: 420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.97 : 481.59 = 280.47 : x
  2. Step 2: Convert to fraction form
    320.97/481.59 = 280.47/x
  3. Step 3: Cross multiply
    320.97x = 481.59 × 280.47
  4. Step 4: Simplify right side
    320.97x = 135,071.55
  5. Step 5: Solve for x
    x = 135,071.55/320.97
  6. Step 6: Final answer
    x = 420.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.