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Finding the Fourth Proportional to 516.96, 775.45 and 414.11

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Solution

The fourth proportional to 516.96, 775.45 and 414.11 is: 621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.96 : 775.45 = 414.11 : x
  2. Step 2: Convert to fraction form
    516.96/775.45 = 414.11/x
  3. Step 3: Cross multiply
    516.96x = 775.45 × 414.11
  4. Step 4: Simplify right side
    516.96x = 321,121.60
  5. Step 5: Solve for x
    x = 321,121.60/516.96
  6. Step 6: Final answer
    x = 621.17

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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.