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Finding the Fourth Proportional to 517.91, 773.10 and 430.43

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Solution

The fourth proportional to 517.91, 773.10 and 430.43 is: 642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.91 : 773.10 = 430.43 : x
  2. Step 2: Convert to fraction form
    517.91/773.10 = 430.43/x
  3. Step 3: Cross multiply
    517.91x = 773.10 × 430.43
  4. Step 4: Simplify right side
    517.91x = 332,761.57
  5. Step 5: Solve for x
    x = 332,761.57/517.91
  6. Step 6: Final answer
    x = 642.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.