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Finding the Fourth Proportional to 537.54, 805.97 and 229.22

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Solution

The fourth proportional to 537.54, 805.97 and 229.22 is: 343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.54 : 805.97 = 229.22 : x
  2. Step 2: Convert to fraction form
    537.54/805.97 = 229.22/x
  3. Step 3: Cross multiply
    537.54x = 805.97 × 229.22
  4. Step 4: Simplify right side
    537.54x = 184,739.27
  5. Step 5: Solve for x
    x = 184,739.27/537.54
  6. Step 6: Final answer
    x = 343.68

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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.