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Finding the Fourth Proportional to 516.70, 713.18 and 320.10

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Solution

The fourth proportional to 516.70, 713.18 and 320.10 is: 441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.70 : 713.18 = 320.10 : x
  2. Step 2: Convert to fraction form
    516.70/713.18 = 320.10/x
  3. Step 3: Cross multiply
    516.70x = 713.18 × 320.10
  4. Step 4: Simplify right side
    516.70x = 228,288.92
  5. Step 5: Solve for x
    x = 228,288.92/516.70
  6. Step 6: Final answer
    x = 441.82

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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.