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Finding the Fourth Proportional to 881.54, 1,322.46 and 333.80

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Solution

The fourth proportional to 881.54, 1,322.46 and 333.80 is: 500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.54 : 1,322.46 = 333.80 : x
  2. Step 2: Convert to fraction form
    881.54/1,322.46 = 333.80/x
  3. Step 3: Cross multiply
    881.54x = 1,322.46 × 333.80
  4. Step 4: Simplify right side
    881.54x = 441,437.15
  5. Step 5: Solve for x
    x = 441,437.15/881.54
  6. Step 6: Final answer
    x = 500.76

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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.