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Finding the Fourth Proportional to 516.16, 712.40 and 499.07

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Solution

The fourth proportional to 516.16, 712.40 and 499.07 is: 688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 712.40 = 499.07 : x
  2. Step 2: Convert to fraction form
    516.16/712.40 = 499.07/x
  3. Step 3: Cross multiply
    516.16x = 712.40 × 499.07
  4. Step 4: Simplify right side
    516.16x = 355,536.75
  5. Step 5: Solve for x
    x = 355,536.75/516.16
  6. Step 6: Final answer
    x = 688.81

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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.