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Finding the Fourth Proportional to 513.29, 773.39 and 423.98

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Solution

The fourth proportional to 513.29, 773.39 and 423.98 is: 638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.29 : 773.39 = 423.98 : x
  2. Step 2: Convert to fraction form
    513.29/773.39 = 423.98/x
  3. Step 3: Cross multiply
    513.29x = 773.39 × 423.98
  4. Step 4: Simplify right side
    513.29x = 327,901.89
  5. Step 5: Solve for x
    x = 327,901.89/513.29
  6. Step 6: Final answer
    x = 638.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.