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Finding the Fourth Proportional to 628.02, 865.62 and 516.78

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Solution

The fourth proportional to 628.02, 865.62 and 516.78 is: 712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.02 : 865.62 = 516.78 : x
  2. Step 2: Convert to fraction form
    628.02/865.62 = 516.78/x
  3. Step 3: Cross multiply
    628.02x = 865.62 × 516.78
  4. Step 4: Simplify right side
    628.02x = 447,335.10
  5. Step 5: Solve for x
    x = 447,335.10/628.02
  6. Step 6: Final answer
    x = 712.29

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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.