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Finding the Fourth Proportional to 499.35, 748.55 and 174.50

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Solution

The fourth proportional to 499.35, 748.55 and 174.50 is: 261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.35 : 748.55 = 174.50 : x
  2. Step 2: Convert to fraction form
    499.35/748.55 = 174.50/x
  3. Step 3: Cross multiply
    499.35x = 748.55 × 174.50
  4. Step 4: Simplify right side
    499.35x = 130,622.97
  5. Step 5: Solve for x
    x = 130,622.97/499.35
  6. Step 6: Final answer
    x = 261.59

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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.