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Finding the Fourth Proportional to 499.14, 748.86 and 174.53

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Solution

The fourth proportional to 499.14, 748.86 and 174.53 is: 261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.14 : 748.86 = 174.53 : x
  2. Step 2: Convert to fraction form
    499.14/748.86 = 174.53/x
  3. Step 3: Cross multiply
    499.14x = 748.86 × 174.53
  4. Step 4: Simplify right side
    499.14x = 130,698.54
  5. Step 5: Solve for x
    x = 130,698.54/499.14
  6. Step 6: Final answer
    x = 261.85

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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.