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Finding the Fourth Proportional to 449.08, 672.34 and 277.56

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Solution

The fourth proportional to 449.08, 672.34 and 277.56 is: 415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.08 : 672.34 = 277.56 : x
  2. Step 2: Convert to fraction form
    449.08/672.34 = 277.56/x
  3. Step 3: Cross multiply
    449.08x = 672.34 × 277.56
  4. Step 4: Simplify right side
    449.08x = 186,614.69
  5. Step 5: Solve for x
    x = 186,614.69/449.08
  6. Step 6: Final answer
    x = 415.55

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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.