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Finding the Fourth Proportional to 529.12, 793.64 and 182.44

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Solution

The fourth proportional to 529.12, 793.64 and 182.44 is: 273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.12 : 793.64 = 182.44 : x
  2. Step 2: Convert to fraction form
    529.12/793.64 = 182.44/x
  3. Step 3: Cross multiply
    529.12x = 793.64 × 182.44
  4. Step 4: Simplify right side
    529.12x = 144,791.68
  5. Step 5: Solve for x
    x = 144,791.68/529.12
  6. Step 6: Final answer
    x = 273.65

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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.