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Finding the Fourth Proportional to 449.28, 673.92 and 277.76

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Solution

The fourth proportional to 449.28, 673.92 and 277.76 is: 416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.28 : 673.92 = 277.76 : x
  2. Step 2: Convert to fraction form
    449.28/673.92 = 277.76/x
  3. Step 3: Cross multiply
    449.28x = 673.92 × 277.76
  4. Step 4: Simplify right side
    449.28x = 187,188.02
  5. Step 5: Solve for x
    x = 187,188.02/449.28
  6. Step 6: Final answer
    x = 416.64

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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.