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Finding the Fourth Proportional to 821.22, 1,231.39 and 334.02

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Solution

The fourth proportional to 821.22, 1,231.39 and 334.02 is: 500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.22 : 1,231.39 = 334.02 : x
  2. Step 2: Convert to fraction form
    821.22/1,231.39 = 334.02/x
  3. Step 3: Cross multiply
    821.22x = 1,231.39 × 334.02
  4. Step 4: Simplify right side
    821.22x = 411,308.89
  5. Step 5: Solve for x
    x = 411,308.89/821.22
  6. Step 6: Final answer
    x = 500.85

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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.