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Finding the Fourth Proportional to 496.02, 742.70 and 414.60

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Solution

The fourth proportional to 496.02, 742.70 and 414.60 is: 620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.02 : 742.70 = 414.60 : x
  2. Step 2: Convert to fraction form
    496.02/742.70 = 414.60/x
  3. Step 3: Cross multiply
    496.02x = 742.70 × 414.60
  4. Step 4: Simplify right side
    496.02x = 307,923.42
  5. Step 5: Solve for x
    x = 307,923.42/496.02
  6. Step 6: Final answer
    x = 620.79

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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.