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Finding the Fourth Proportional to 528.49, 792.74 and 182.22

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Solution

The fourth proportional to 528.49, 792.74 and 182.22 is: 273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.49 : 792.74 = 182.22 : x
  2. Step 2: Convert to fraction form
    528.49/792.74 = 182.22/x
  3. Step 3: Cross multiply
    528.49x = 792.74 × 182.22
  4. Step 4: Simplify right side
    528.49x = 144,453.08
  5. Step 5: Solve for x
    x = 144,453.08/528.49
  6. Step 6: Final answer
    x = 273.33

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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.