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Finding the Fourth Proportional to 449.66, 674.54 and 189.74

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Solution

The fourth proportional to 449.66, 674.54 and 189.74 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.66 : 674.54 = 189.74 : x
  2. Step 2: Convert to fraction form
    449.66/674.54 = 189.74/x
  3. Step 3: Cross multiply
    449.66x = 674.54 × 189.74
  4. Step 4: Simplify right side
    449.66x = 127,987.22
  5. Step 5: Solve for x
    x = 127,987.22/449.66
  6. Step 6: Final answer
    x = 284.63

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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.