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Finding the Fourth Proportional to 537.09, 805.71 and 171.84

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Solution

The fourth proportional to 537.09, 805.71 and 171.84 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.09 : 805.71 = 171.84 : x
  2. Step 2: Convert to fraction form
    537.09/805.71 = 171.84/x
  3. Step 3: Cross multiply
    537.09x = 805.71 × 171.84
  4. Step 4: Simplify right side
    537.09x = 138,453.21
  5. Step 5: Solve for x
    x = 138,453.21/537.09
  6. Step 6: Final answer
    x = 257.78

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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.