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Finding the Fourth Proportional to 513.57, 769.68 and 448.40

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Solution

The fourth proportional to 513.57, 769.68 and 448.40 is: 672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 769.68 = 448.40 : x
  2. Step 2: Convert to fraction form
    513.57/769.68 = 448.40/x
  3. Step 3: Cross multiply
    513.57x = 769.68 × 448.40
  4. Step 4: Simplify right side
    513.57x = 345,123.39
  5. Step 5: Solve for x
    x = 345,123.39/513.57
  6. Step 6: Final answer
    x = 672.01

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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.