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Finding the Fourth Proportional to 449.28, 671.22 and 293.94

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Solution

The fourth proportional to 449.28, 671.22 and 293.94 is: 439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.28 : 671.22 = 293.94 : x
  2. Step 2: Convert to fraction form
    449.28/671.22 = 293.94/x
  3. Step 3: Cross multiply
    449.28x = 671.22 × 293.94
  4. Step 4: Simplify right side
    449.28x = 197,298.41
  5. Step 5: Solve for x
    x = 197,298.41/449.28
  6. Step 6: Final answer
    x = 439.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.