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Finding the Fourth Proportional to 821.80, 1,231.66 and 359.46

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Solution

The fourth proportional to 821.80, 1,231.66 and 359.46 is: 538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.80 : 1,231.66 = 359.46 : x
  2. Step 2: Convert to fraction form
    821.80/1,231.66 = 359.46/x
  3. Step 3: Cross multiply
    821.80x = 1,231.66 × 359.46
  4. Step 4: Simplify right side
    821.80x = 442,726.35
  5. Step 5: Solve for x
    x = 442,726.35/821.80
  6. Step 6: Final answer
    x = 538.73

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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.