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Finding the Fourth Proportional to 528.38, 792.56 and 186.38

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Solution

The fourth proportional to 528.38, 792.56 and 186.38 is: 279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.38 : 792.56 = 186.38 : x
  2. Step 2: Convert to fraction form
    528.38/792.56 = 186.38/x
  3. Step 3: Cross multiply
    528.38x = 792.56 × 186.38
  4. Step 4: Simplify right side
    528.38x = 147,713.84
  5. Step 5: Solve for x
    x = 147,713.84/528.38
  6. Step 6: Final answer
    x = 279.56

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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.