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Finding the Fourth Proportional to 516.19, 773.38 and 430.08

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Solution

The fourth proportional to 516.19, 773.38 and 430.08 is: 644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.19 : 773.38 = 430.08 : x
  2. Step 2: Convert to fraction form
    516.19/773.38 = 430.08/x
  3. Step 3: Cross multiply
    516.19x = 773.38 × 430.08
  4. Step 4: Simplify right side
    516.19x = 332,615.27
  5. Step 5: Solve for x
    x = 332,615.27/516.19
  6. Step 6: Final answer
    x = 644.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.