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Finding the Fourth Proportional to 499.15, 748.61 and 174.52

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Solution

The fourth proportional to 499.15, 748.61 and 174.52 is: 261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.15 : 748.61 = 174.52 : x
  2. Step 2: Convert to fraction form
    499.15/748.61 = 174.52/x
  3. Step 3: Cross multiply
    499.15x = 748.61 × 174.52
  4. Step 4: Simplify right side
    499.15x = 130,642.80
  5. Step 5: Solve for x
    x = 130,642.80/499.15
  6. Step 6: Final answer
    x = 261.73

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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.