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Finding the Fourth Proportional to 499.37, 748.53 and 174.56

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Solution

The fourth proportional to 499.37, 748.53 and 174.56 is: 261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.37 : 748.53 = 174.56 : x
  2. Step 2: Convert to fraction form
    499.37/748.53 = 174.56/x
  3. Step 3: Cross multiply
    499.37x = 748.53 × 174.56
  4. Step 4: Simplify right side
    499.37x = 130,659.65
  5. Step 5: Solve for x
    x = 130,659.65/499.37
  6. Step 6: Final answer
    x = 261.65

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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.