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Finding the Fourth Proportional to 499.31, 748.50 and 174.50

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Solution

The fourth proportional to 499.31, 748.50 and 174.50 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.31 : 748.50 = 174.50 : x
  2. Step 2: Convert to fraction form
    499.31/748.50 = 174.50/x
  3. Step 3: Cross multiply
    499.31x = 748.50 × 174.50
  4. Step 4: Simplify right side
    499.31x = 130,610.78
  5. Step 5: Solve for x
    x = 130,610.78/499.31
  6. Step 6: Final answer
    x = 261.58

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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.