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Finding the Fourth Proportional to 516.83, 712.75 and 348.71

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Solution

The fourth proportional to 516.83, 712.75 and 348.71 is: 480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.83 : 712.75 = 348.71 : x
  2. Step 2: Convert to fraction form
    516.83/712.75 = 348.71/x
  3. Step 3: Cross multiply
    516.83x = 712.75 × 348.71
  4. Step 4: Simplify right side
    516.83x = 248,539.27
  5. Step 5: Solve for x
    x = 248,539.27/516.83
  6. Step 6: Final answer
    x = 480.89

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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.