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Finding the Fourth Proportional to 516.43, 773.70 and 435.70

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Solution

The fourth proportional to 516.43, 773.70 and 435.70 is: 652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.43 : 773.70 = 435.70 : x
  2. Step 2: Convert to fraction form
    516.43/773.70 = 435.70/x
  3. Step 3: Cross multiply
    516.43x = 773.70 × 435.70
  4. Step 4: Simplify right side
    516.43x = 337,101.09
  5. Step 5: Solve for x
    x = 337,101.09/516.43
  6. Step 6: Final answer
    x = 652.75

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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.