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Finding the Fourth Proportional to 319.76, 441.24 and 203.32

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Solution

The fourth proportional to 319.76, 441.24 and 203.32 is: 280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.76 : 441.24 = 203.32 : x
  2. Step 2: Convert to fraction form
    319.76/441.24 = 203.32/x
  3. Step 3: Cross multiply
    319.76x = 441.24 × 203.32
  4. Step 4: Simplify right side
    319.76x = 89,712.92
  5. Step 5: Solve for x
    x = 89,712.92/319.76
  6. Step 6: Final answer
    x = 280.56

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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.