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Finding the Fourth Proportional to 449.34, 673.42 and 217.76

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Solution

The fourth proportional to 449.34, 673.42 and 217.76 is: 326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.34 : 673.42 = 217.76 : x
  2. Step 2: Convert to fraction form
    449.34/673.42 = 217.76/x
  3. Step 3: Cross multiply
    449.34x = 673.42 × 217.76
  4. Step 4: Simplify right side
    449.34x = 146,643.94
  5. Step 5: Solve for x
    x = 146,643.94/449.34
  6. Step 6: Final answer
    x = 326.35

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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.