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Finding the Fourth Proportional to 449.65, 674.53 and 141.42

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Solution

The fourth proportional to 449.65, 674.53 and 141.42 is: 212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.65 : 674.53 = 141.42 : x
  2. Step 2: Convert to fraction form
    449.65/674.53 = 141.42/x
  3. Step 3: Cross multiply
    449.65x = 674.53 × 141.42
  4. Step 4: Simplify right side
    449.65x = 95,392.31
  5. Step 5: Solve for x
    x = 95,392.31/449.65
  6. Step 6: Final answer
    x = 212.15

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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.