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Finding the Fourth Proportional to 880.98, 1,321.46 and 333.06

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Solution

The fourth proportional to 880.98, 1,321.46 and 333.06 is: 499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.98 : 1,321.46 = 333.06 : x
  2. Step 2: Convert to fraction form
    880.98/1,321.46 = 333.06/x
  3. Step 3: Cross multiply
    880.98x = 1,321.46 × 333.06
  4. Step 4: Simplify right side
    880.98x = 440,129.40
  5. Step 5: Solve for x
    x = 440,129.40/880.98
  6. Step 6: Final answer
    x = 499.59

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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.