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Finding the Fourth Proportional to 516.96, 713.52 and 330.42

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Solution

The fourth proportional to 516.96, 713.52 and 330.42 is: 456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.96 : 713.52 = 330.42 : x
  2. Step 2: Convert to fraction form
    516.96/713.52 = 330.42/x
  3. Step 3: Cross multiply
    516.96x = 713.52 × 330.42
  4. Step 4: Simplify right side
    516.96x = 235,761.28
  5. Step 5: Solve for x
    x = 235,761.28/516.96
  6. Step 6: Final answer
    x = 456.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.