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Finding the Fourth Proportional to 449.55, 674.27 and 189.59

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Solution

The fourth proportional to 449.55, 674.27 and 189.59 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.55 : 674.27 = 189.59 : x
  2. Step 2: Convert to fraction form
    449.55/674.27 = 189.59/x
  3. Step 3: Cross multiply
    449.55x = 674.27 × 189.59
  4. Step 4: Simplify right side
    449.55x = 127,836.10
  5. Step 5: Solve for x
    x = 127,836.10/449.55
  6. Step 6: Final answer
    x = 284.36

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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.