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Finding the Fourth Proportional to 449.44, 673.36 and 278.08

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Solution

The fourth proportional to 449.44, 673.36 and 278.08 is: 416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.44 : 673.36 = 278.08 : x
  2. Step 2: Convert to fraction form
    449.44/673.36 = 278.08/x
  3. Step 3: Cross multiply
    449.44x = 673.36 × 278.08
  4. Step 4: Simplify right side
    449.44x = 187,247.95
  5. Step 5: Solve for x
    x = 187,247.95/449.44
  6. Step 6: Final answer
    x = 416.63

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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.