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Finding the Fourth Proportional to 528.24, 792.43 and 163.05

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Solution

The fourth proportional to 528.24, 792.43 and 163.05 is: 244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.24 : 792.43 = 163.05 : x
  2. Step 2: Convert to fraction form
    528.24/792.43 = 163.05/x
  3. Step 3: Cross multiply
    528.24x = 792.43 × 163.05
  4. Step 4: Simplify right side
    528.24x = 129,209.94
  5. Step 5: Solve for x
    x = 129,209.94/528.24
  6. Step 6: Final answer
    x = 244.61

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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.