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Finding the Fourth Proportional to 496.10, 742.26 and 374.60

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Solution

The fourth proportional to 496.10, 742.26 and 374.60 is: 560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.10 : 742.26 = 374.60 : x
  2. Step 2: Convert to fraction form
    496.10/742.26 = 374.60/x
  3. Step 3: Cross multiply
    496.10x = 742.26 × 374.60
  4. Step 4: Simplify right side
    496.10x = 278,050.60
  5. Step 5: Solve for x
    x = 278,050.60/496.10
  6. Step 6: Final answer
    x = 560.47

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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.