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Finding the Fourth Proportional to 821.37, 1,232.23 and 382.30

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Solution

The fourth proportional to 821.37, 1,232.23 and 382.30 is: 573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.37 : 1,232.23 = 382.30 : x
  2. Step 2: Convert to fraction form
    821.37/1,232.23 = 382.30/x
  3. Step 3: Cross multiply
    821.37x = 1,232.23 × 382.30
  4. Step 4: Simplify right side
    821.37x = 471,081.53
  5. Step 5: Solve for x
    x = 471,081.53/821.37
  6. Step 6: Final answer
    x = 573.53

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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.