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Finding the Fourth Proportional to 516.76, 713.40 and 330.52

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Solution

The fourth proportional to 516.76, 713.40 and 330.52 is: 456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 713.40 = 330.52 : x
  2. Step 2: Convert to fraction form
    516.76/713.40 = 330.52/x
  3. Step 3: Cross multiply
    516.76x = 713.40 × 330.52
  4. Step 4: Simplify right side
    516.76x = 235,792.97
  5. Step 5: Solve for x
    x = 235,792.97/516.76
  6. Step 6: Final answer
    x = 456.29

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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.