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Finding the Fourth Proportional to 516.54, 773.58 and 393.84

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Solution

The fourth proportional to 516.54, 773.58 and 393.84 is: 589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.54 : 773.58 = 393.84 : x
  2. Step 2: Convert to fraction form
    516.54/773.58 = 393.84/x
  3. Step 3: Cross multiply
    516.54x = 773.58 × 393.84
  4. Step 4: Simplify right side
    516.54x = 304,666.75
  5. Step 5: Solve for x
    x = 304,666.75/516.54
  6. Step 6: Final answer
    x = 589.82

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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.