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Finding the Fourth Proportional to 516.20, 711.45 and 417.78

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Solution

The fourth proportional to 516.20, 711.45 and 417.78 is: 575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.20 : 711.45 = 417.78 : x
  2. Step 2: Convert to fraction form
    516.20/711.45 = 417.78/x
  3. Step 3: Cross multiply
    516.20x = 711.45 × 417.78
  4. Step 4: Simplify right side
    516.20x = 297,229.58
  5. Step 5: Solve for x
    x = 297,229.58/516.20
  6. Step 6: Final answer
    x = 575.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.