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Finding the Fourth Proportional to 513.92, 766.41 and 485.17

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Solution

The fourth proportional to 513.92, 766.41 and 485.17 is: 723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.92 : 766.41 = 485.17 : x
  2. Step 2: Convert to fraction form
    513.92/766.41 = 485.17/x
  3. Step 3: Cross multiply
    513.92x = 766.41 × 485.17
  4. Step 4: Simplify right side
    513.92x = 371,839.14
  5. Step 5: Solve for x
    x = 371,839.14/513.92
  6. Step 6: Final answer
    x = 723.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.