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Finding the Fourth Proportional to 499.40, 749.09 and 174.86

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Solution

The fourth proportional to 499.40, 749.09 and 174.86 is: 262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.40 : 749.09 = 174.86 : x
  2. Step 2: Convert to fraction form
    499.40/749.09 = 174.86/x
  3. Step 3: Cross multiply
    499.40x = 749.09 × 174.86
  4. Step 4: Simplify right side
    499.40x = 130,982.57
  5. Step 5: Solve for x
    x = 130,982.57/499.40
  6. Step 6: Final answer
    x = 262.28

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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.