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Finding the Fourth Proportional to 516.98, 712.90 and 446.82

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Solution

The fourth proportional to 516.98, 712.90 and 446.82 is: 616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.98 : 712.90 = 446.82 : x
  2. Step 2: Convert to fraction form
    516.98/712.90 = 446.82/x
  3. Step 3: Cross multiply
    516.98x = 712.90 × 446.82
  4. Step 4: Simplify right side
    516.98x = 318,535.86
  5. Step 5: Solve for x
    x = 318,535.86/516.98
  6. Step 6: Final answer
    x = 616.14

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Why These Related Problems?

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