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Finding the Fourth Proportional to 516.68, 712.08 and 477.54

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Solution

The fourth proportional to 516.68, 712.08 and 477.54 is: 658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.68 : 712.08 = 477.54 : x
  2. Step 2: Convert to fraction form
    516.68/712.08 = 477.54/x
  3. Step 3: Cross multiply
    516.68x = 712.08 × 477.54
  4. Step 4: Simplify right side
    516.68x = 340,046.68
  5. Step 5: Solve for x
    x = 340,046.68/516.68
  6. Step 6: Final answer
    x = 658.14

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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.