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Finding the Fourth Proportional to 516.06, 712.80 and 383.54

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Solution

The fourth proportional to 516.06, 712.80 and 383.54 is: 529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.06 : 712.80 = 383.54 : x
  2. Step 2: Convert to fraction form
    516.06/712.80 = 383.54/x
  3. Step 3: Cross multiply
    516.06x = 712.80 × 383.54
  4. Step 4: Simplify right side
    516.06x = 273,383.75
  5. Step 5: Solve for x
    x = 273,383.75/516.06
  6. Step 6: Final answer
    x = 529.75

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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.