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Finding the Fourth Proportional to 513.56, 766.61 and 476.43

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Solution

The fourth proportional to 513.56, 766.61 and 476.43 is: 711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.56 : 766.61 = 476.43 : x
  2. Step 2: Convert to fraction form
    513.56/766.61 = 476.43/x
  3. Step 3: Cross multiply
    513.56x = 766.61 × 476.43
  4. Step 4: Simplify right side
    513.56x = 365,233.62
  5. Step 5: Solve for x
    x = 365,233.62/513.56
  6. Step 6: Final answer
    x = 711.19

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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.