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Finding the Fourth Proportional to 496.52, 743.70 and 414.80

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Solution

The fourth proportional to 496.52, 743.70 and 414.80 is: 621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.52 : 743.70 = 414.80 : x
  2. Step 2: Convert to fraction form
    496.52/743.70 = 414.80/x
  3. Step 3: Cross multiply
    496.52x = 743.70 × 414.80
  4. Step 4: Simplify right side
    496.52x = 308,486.76
  5. Step 5: Solve for x
    x = 308,486.76/496.52
  6. Step 6: Final answer
    x = 621.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.