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Finding the Fourth Proportional to 525.89, 789.14 and 201.29

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Solution

The fourth proportional to 525.89, 789.14 and 201.29 is: 302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.89 : 789.14 = 201.29 : x
  2. Step 2: Convert to fraction form
    525.89/789.14 = 201.29/x
  3. Step 3: Cross multiply
    525.89x = 789.14 × 201.29
  4. Step 4: Simplify right side
    525.89x = 158,842.55
  5. Step 5: Solve for x
    x = 158,842.55/525.89
  6. Step 6: Final answer
    x = 302.04

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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.