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Finding the Fourth Proportional to 516.16, 711.76 and 399.52

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Solution

The fourth proportional to 516.16, 711.76 and 399.52 is: 550.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 711.76 = 399.52 : x
  2. Step 2: Convert to fraction form
    516.16/711.76 = 399.52/x
  3. Step 3: Cross multiply
    516.16x = 711.76 × 399.52
  4. Step 4: Simplify right side
    516.16x = 284,362.36
  5. Step 5: Solve for x
    x = 284,362.36/516.16
  6. Step 6: Final answer
    x = 550.92

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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.