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Finding the Fourth Proportional to 821.33, 1,231.28 and 334.06

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Solution

The fourth proportional to 821.33, 1,231.28 and 334.06 is: 500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.33 : 1,231.28 = 334.06 : x
  2. Step 2: Convert to fraction form
    821.33/1,231.28 = 334.06/x
  3. Step 3: Cross multiply
    821.33x = 1,231.28 × 334.06
  4. Step 4: Simplify right side
    821.33x = 411,321.40
  5. Step 5: Solve for x
    x = 411,321.40/821.33
  6. Step 6: Final answer
    x = 500.80

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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.