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Finding the Fourth Proportional to 529.35, 793.97 and 182.65

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Solution

The fourth proportional to 529.35, 793.97 and 182.65 is: 273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.35 : 793.97 = 182.65 : x
  2. Step 2: Convert to fraction form
    529.35/793.97 = 182.65/x
  3. Step 3: Cross multiply
    529.35x = 793.97 × 182.65
  4. Step 4: Simplify right side
    529.35x = 145,018.62
  5. Step 5: Solve for x
    x = 145,018.62/529.35
  6. Step 6: Final answer
    x = 273.96

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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.