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Finding the Fourth Proportional to 869.80, 1,305.24 and 382.90

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Solution

The fourth proportional to 869.80, 1,305.24 and 382.90 is: 574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.80 : 1,305.24 = 382.90 : x
  2. Step 2: Convert to fraction form
    869.80/1,305.24 = 382.90/x
  3. Step 3: Cross multiply
    869.80x = 1,305.24 × 382.90
  4. Step 4: Simplify right side
    869.80x = 499,776.40
  5. Step 5: Solve for x
    x = 499,776.40/869.80
  6. Step 6: Final answer
    x = 574.59

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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.