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Finding the Fourth Proportional to 526.31, 789.43 and 161.09

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Solution

The fourth proportional to 526.31, 789.43 and 161.09 is: 241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.31 : 789.43 = 161.09 : x
  2. Step 2: Convert to fraction form
    526.31/789.43 = 161.09/x
  3. Step 3: Cross multiply
    526.31x = 789.43 × 161.09
  4. Step 4: Simplify right side
    526.31x = 127,164.93
  5. Step 5: Solve for x
    x = 127,164.93/526.31
  6. Step 6: Final answer
    x = 241.62

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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.