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Finding the Fourth Proportional to 516.64, 713.40 and 411.64

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Solution

The fourth proportional to 516.64, 713.40 and 411.64 is: 568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.64 : 713.40 = 411.64 : x
  2. Step 2: Convert to fraction form
    516.64/713.40 = 411.64/x
  3. Step 3: Cross multiply
    516.64x = 713.40 × 411.64
  4. Step 4: Simplify right side
    516.64x = 293,663.98
  5. Step 5: Solve for x
    x = 293,663.98/516.64
  6. Step 6: Final answer
    x = 568.41

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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.