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Finding the Fourth Proportional to 516.66, 774.98 and 414.59

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Solution

The fourth proportional to 516.66, 774.98 and 414.59 is: 621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.66 : 774.98 = 414.59 : x
  2. Step 2: Convert to fraction form
    516.66/774.98 = 414.59/x
  3. Step 3: Cross multiply
    516.66x = 774.98 × 414.59
  4. Step 4: Simplify right side
    516.66x = 321,293.01
  5. Step 5: Solve for x
    x = 321,293.01/516.66
  6. Step 6: Final answer
    x = 621.87

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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.