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Finding the Fourth Proportional to 449.31, 620.09 and 274.69

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Solution

The fourth proportional to 449.31, 620.09 and 274.69 is: 379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.31 : 620.09 = 274.69 : x
  2. Step 2: Convert to fraction form
    449.31/620.09 = 274.69/x
  3. Step 3: Cross multiply
    449.31x = 620.09 × 274.69
  4. Step 4: Simplify right side
    449.31x = 170,332.52
  5. Step 5: Solve for x
    x = 170,332.52/449.31
  6. Step 6: Final answer
    x = 379.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.