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Finding the Fourth Proportional to 512.60, 769.80 and 496.40

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Solution

The fourth proportional to 512.60, 769.80 and 496.40 is: 745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.60 : 769.80 = 496.40 : x
  2. Step 2: Convert to fraction form
    512.60/769.80 = 496.40/x
  3. Step 3: Cross multiply
    512.60x = 769.80 × 496.40
  4. Step 4: Simplify right side
    512.60x = 382,128.72
  5. Step 5: Solve for x
    x = 382,128.72/512.60
  6. Step 6: Final answer
    x = 745.47

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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.