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Finding the Fourth Proportional to 516.72, 712.09 and 507.23

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Solution

The fourth proportional to 516.72, 712.09 and 507.23 is: 699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 712.09 = 507.23 : x
  2. Step 2: Convert to fraction form
    516.72/712.09 = 507.23/x
  3. Step 3: Cross multiply
    516.72x = 712.09 × 507.23
  4. Step 4: Simplify right side
    516.72x = 361,190.87
  5. Step 5: Solve for x
    x = 361,190.87/516.72
  6. Step 6: Final answer
    x = 699.01

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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.