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Finding the Fourth Proportional to 526.09, 789.23 and 160.79

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Solution

The fourth proportional to 526.09, 789.23 and 160.79 is: 241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.09 : 789.23 = 160.79 : x
  2. Step 2: Convert to fraction form
    526.09/789.23 = 160.79/x
  3. Step 3: Cross multiply
    526.09x = 789.23 × 160.79
  4. Step 4: Simplify right side
    526.09x = 126,899.49
  5. Step 5: Solve for x
    x = 126,899.49/526.09
  6. Step 6: Final answer
    x = 241.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.