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Finding the Fourth Proportional to 516.03, 772.67 and 454.52

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Solution

The fourth proportional to 516.03, 772.67 and 454.52 is: 680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.03 : 772.67 = 454.52 : x
  2. Step 2: Convert to fraction form
    516.03/772.67 = 454.52/x
  3. Step 3: Cross multiply
    516.03x = 772.67 × 454.52
  4. Step 4: Simplify right side
    516.03x = 351,193.97
  5. Step 5: Solve for x
    x = 351,193.97/516.03
  6. Step 6: Final answer
    x = 680.57

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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.