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Finding the Fourth Proportional to 516.12, 773.55 and 461.45

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Solution

The fourth proportional to 516.12, 773.55 and 461.45 is: 691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.12 : 773.55 = 461.45 : x
  2. Step 2: Convert to fraction form
    516.12/773.55 = 461.45/x
  3. Step 3: Cross multiply
    516.12x = 773.55 × 461.45
  4. Step 4: Simplify right side
    516.12x = 356,950.78
  5. Step 5: Solve for x
    x = 356,950.78/516.12
  6. Step 6: Final answer
    x = 691.60

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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.