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Finding the Fourth Proportional to 516.69, 706.77 and 515.07

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Solution

The fourth proportional to 516.69, 706.77 and 515.07 is: 704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.69 : 706.77 = 515.07 : x
  2. Step 2: Convert to fraction form
    516.69/706.77 = 515.07/x
  3. Step 3: Cross multiply
    516.69x = 706.77 × 515.07
  4. Step 4: Simplify right side
    516.69x = 364,036.02
  5. Step 5: Solve for x
    x = 364,036.02/516.69
  6. Step 6: Final answer
    x = 704.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.