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Finding the Fourth Proportional to 516.76, 775.42 and 343

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Solution

The fourth proportional to 516.76, 775.42 and 343 is: 514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 775.42 = 343 : x
  2. Step 2: Convert to fraction form
    516.76/775.42 = 343/x
  3. Step 3: Cross multiply
    516.76x = 775.42 × 343
  4. Step 4: Simplify right side
    516.76x = 265,969.06
  5. Step 5: Solve for x
    x = 265,969.06/516.76
  6. Step 6: Final answer
    x = 514.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.