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Finding the Fourth Proportional to 525.96, 789.21 and 201.29

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Solution

The fourth proportional to 525.96, 789.21 and 201.29 is: 302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.96 : 789.21 = 201.29 : x
  2. Step 2: Convert to fraction form
    525.96/789.21 = 201.29/x
  3. Step 3: Cross multiply
    525.96x = 789.21 × 201.29
  4. Step 4: Simplify right side
    525.96x = 158,856.13
  5. Step 5: Solve for x
    x = 158,856.13/525.96
  6. Step 6: Final answer
    x = 302.03

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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.