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Finding the Fourth Proportional to 512.01, 769.23 and 475.56

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Solution

The fourth proportional to 512.01, 769.23 and 475.56 is: 714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.01 : 769.23 = 475.56 : x
  2. Step 2: Convert to fraction form
    512.01/769.23 = 475.56/x
  3. Step 3: Cross multiply
    512.01x = 769.23 × 475.56
  4. Step 4: Simplify right side
    512.01x = 365,815.02
  5. Step 5: Solve for x
    x = 365,815.02/512.01
  6. Step 6: Final answer
    x = 714.47

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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.