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Finding the Fourth Proportional to 881.66, 1,321.88 and 333.74

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Solution

The fourth proportional to 881.66, 1,321.88 and 333.74 is: 500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.66 : 1,321.88 = 333.74 : x
  2. Step 2: Convert to fraction form
    881.66/1,321.88 = 333.74/x
  3. Step 3: Cross multiply
    881.66x = 1,321.88 × 333.74
  4. Step 4: Simplify right side
    881.66x = 441,164.23
  5. Step 5: Solve for x
    x = 441,164.23/881.66
  6. Step 6: Final answer
    x = 500.38

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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.