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Finding the Fourth Proportional to 516.17, 712.17 and 350.39

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Solution

The fourth proportional to 516.17, 712.17 and 350.39 is: 483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.17 : 712.17 = 350.39 : x
  2. Step 2: Convert to fraction form
    516.17/712.17 = 350.39/x
  3. Step 3: Cross multiply
    516.17x = 712.17 × 350.39
  4. Step 4: Simplify right side
    516.17x = 249,533.69
  5. Step 5: Solve for x
    x = 249,533.69/516.17
  6. Step 6: Final answer
    x = 483.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.