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Finding the Fourth Proportional to 452.92, 673.88 and 449.41

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Solution

The fourth proportional to 452.92, 673.88 and 449.41 is: 668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.92 : 673.88 = 449.41 : x
  2. Step 2: Convert to fraction form
    452.92/673.88 = 449.41/x
  3. Step 3: Cross multiply
    452.92x = 673.88 × 449.41
  4. Step 4: Simplify right side
    452.92x = 302,848.41
  5. Step 5: Solve for x
    x = 302,848.41/452.92
  6. Step 6: Final answer
    x = 668.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.