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Finding the Fourth Proportional to 537.22, 805.39 and 293.41

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Solution

The fourth proportional to 537.22, 805.39 and 293.41 is: 439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.22 : 805.39 = 293.41 : x
  2. Step 2: Convert to fraction form
    537.22/805.39 = 293.41/x
  3. Step 3: Cross multiply
    537.22x = 805.39 × 293.41
  4. Step 4: Simplify right side
    537.22x = 236,309.48
  5. Step 5: Solve for x
    x = 236,309.48/537.22
  6. Step 6: Final answer
    x = 439.87

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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.