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Finding the Fourth Proportional to 537.44, 805.82 and 229.03

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Solution

The fourth proportional to 537.44, 805.82 and 229.03 is: 343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.44 : 805.82 = 229.03 : x
  2. Step 2: Convert to fraction form
    537.44/805.82 = 229.03/x
  3. Step 3: Cross multiply
    537.44x = 805.82 × 229.03
  4. Step 4: Simplify right side
    537.44x = 184,553.79
  5. Step 5: Solve for x
    x = 184,553.79/537.44
  6. Step 6: Final answer
    x = 343.40

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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.